2023 |
Carter M, Willis GA, 'Homomorphic images of locally compact groups acting on trees and buildings', Monatshefte fur Mathematik, 200 507-522 (2023) [C1]
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally dis... [more]
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disconnected locally compact groups acting on trees and buildings have the property that every continuous homomorphic image of the group is closed.
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Nova |
2023 |
Willis GA, 'Groups with Flat-Rank Greater Than 1', JOURNAL OF LIE THEORY, 33 433-452 (2023) [C1] |
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Nova |
2021 |
Carter M, Willis GA, 'Decomposition theorems for automorphism groups of trees', Bulletin of the Australian Mathematical Society, 103 104-112 (2021) [C1]
Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, we enumerate double cosets of the group of label-preserving automorphisms of a label-... [more]
Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, we enumerate double cosets of the group of label-preserving automorphisms of a label-regular tree over the fixator of an end of the tree and over maximal compact open subgroups. This enumeration is used to show that every continuous homomorphism from the automorphism group of a label-regular tree has closed range.
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Nova |
2021 |
Glöckner H, Willis GA, 'Locally pro-p contraction groups are nilpotent', Journal fur die Reine und Angewandte Mathematik, 2021 85-103 (2021) [C1]
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been ... [more]
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show here that the torsion factor is nilpotent too, and hence that every locally pro-p contraction group is nilpotent.
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Nova |
2021 |
Gloeckner H, Willis GA, 'Decompositions of locally compact contraction groups, series and extensions', JOURNAL OF ALGEBRA, 570 164-214 (2021) [C1]
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Nova |
2020 |
Groenhout P, Reid CD, Willis GA, 'Topologically simple, totally disconnected, locally compact infinite matrix groups', Journal of Lie Theory, 30 965-980 (2020) [C1]
We construct uncountably many non-locally isomorphic examples of topologically simple nondiscrete totally disconnected locally compact groups. The new examples differ from known e... [more]
We construct uncountably many non-locally isomorphic examples of topologically simple nondiscrete totally disconnected locally compact groups. The new examples differ from known examples of such groups in that they have trivial quasi-centre, but also have infinite abelian locally normal subgroups. The examples are constructed as almost upper-triangular matrices modulo scalar matrices over finite fields, where 'almost upper-triangular' is defined with respect to one of an uncountable family of preorders generalising the orders (Z, =) and (N, =).
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Nova |
2020 |
Carter M, Tornier S, Willis G, 'On free products of graphs', Australasian Journal of Combinatorics, 78 154-176 (2020) [C1]
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Nova |
2020 |
Ghahramani F, Loy RJ, Willis GA, 'ADDENDUM TO "AMENABILITY AND WEAK AMENABILITY OF SECOND CONJUGATE BANACH ALGEBRAS"', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 148 4573-4575 (2020)
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Nova |
2020 |
Praeger CE, Ramagge J, Willis GA, 'A graph-theoretic description of scale-multiplicative semigroups of automorphisms', Israel Journal of Mathematics, 237 221-265 (2020) [C1]
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Nova |
2018 |
Willis GA, 'Homological properties of the Algebra of compact operators on a banach space', Rocky Mountain Journal of Mathematics, 48 687-701 (2018) [C1]
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Nova |
2017 |
Willis GA, 'THE SCALE FUNCTION AND LATTICES', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145 3185-3190 (2017) [C1]
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Nova |
2017 |
Caprace P-E, Reid CD, Willis GA, 'LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY', FORUM OF MATHEMATICS SIGMA, 5 (2017) [C1]
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Nova |
2017 |
Caprace P-E, Reid CD, Willis GA, 'LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS', FORUM OF MATHEMATICS SIGMA, 5 (2017) [C1]
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Nova |
2017 |
Willis GA, 'Computing the scale of an endomorphism of a totally disconnected locally compact group', Axioms, 6 (2017) [C1]
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Nova |
2016 |
Marchant TR, Willis GA, 'PROFESSOR JONATHAN M. BORWEIN', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 101 289-289 (2016)
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2016 |
Baumgartner U, Ramagge J, Willis GA, 'Scale-multiplicative semigroups and geometry: Automorphism groups of trees', Groups, Geometry, and Dynamics, 10 1051-1075 (2016) [C1]
A scale-multiplicative semigroup in a totally disconnected, locally compact group G is one for which the restriction of the scale function on G is multiplicative The maximal scale... [more]
A scale-multiplicative semigroup in a totally disconnected, locally compact group G is one for which the restriction of the scale function on G is multiplicative The maximal scale-multiplicative semigroups in groups acting 2-transitively on the set of ends of trees without leaves are determined and shown to correspond to geometric features of the tree.
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Nova |
2015 |
Willis GA, 'The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups', MATHEMATISCHE ANNALEN, 361 403-442 (2015) [C1]
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Nova |
2015 |
Banks C, Elder M, Willis GA, 'Simple groups of automorphisms of trees determined by their actions on finite subtrees', JOURNAL OF GROUP THEORY, 18 235-261 (2015) [C1]
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Nova |
2015 |
Hofmann KH, Willis GA, 'Continuity Characterizing Totally Disconnected Locally Compact Groups', JOURNAL OF LIE THEORY, 25 1-7 (2015) [C1]
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Nova |
2014 |
Caprace P-E, Reid CD, Willis GA, 'Limits of contraction groups and the tits core', Journal of Lie Theory, 24 957-967 (2014) [C1]
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Nova |
2014 |
Willis GA, 'The nub of an automorphism of a totally disconnected, locally compact group', Ergodic Theory and Dynamical Systems, 34 1365-1394 (2014) [C1]
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Nova |
2013 |
Shalom Y, Willis GA, 'Commensurated Subgroups of Arithmetic Groups, Totally Disconnected Groups and Adelic Rigidity', GEOMETRIC AND FUNCTIONAL ANALYSIS, 23 1631-1683 (2013) [C1]
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Nova |
2013 |
Caprace P-E, Reid CD, Willis GA, 'Locally normal subgroups of simple locally compact groups', Comptes Rendus Mathematique, 351 657-661 (2013) [C1]
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Nova |
2012 |
Baumgartner U, Moller RG, Willis GA, 'Hyperbolic groups have flat-rank at most 1', Israel Journal of Mathematics, 190 365-388 (2012) [C1]
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Nova |
2012 |
Willis GA, 'Probability measures on semigroups: Convolution products, random walks and random matrices [Book Review]', SIAM Review, 54 414-416 (2012) [C3] |
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2010 |
Baumgartner U, Schlichting G, Willis GA, 'Geometric characterization of flat groups of automorphisms', Groups, Geometry, and Dynamics, 4 1-13 (2010) [C1]
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Nova |
2010 |
Ghahramani F, Read CJ, Willis GA, 'Closed ideal structure and cohomological properties of certain radical Banach algebras', Proceedings of the London Mathematical Society, 100 533-559 (2010) [C1]
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Nova |
2010 |
Glockner H, Willis GA, 'Classification of the simple factors appearing in composition series of totally disconnected contraction groups', Journal Fur Die Reine Und Angewandte Mathematik, 141-169 (2010) [C1]
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Nova |
2009 |
Baumgartner U, Laca M, Ramagge J, Willis GA, 'Hecke algebras from groups acting on trees and HNN extensions', Journal of Algebra, 321 3065-3088 (2009) [C1]
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Nova |
2007 |
Baumgartner U, Remy B, Willis GA, 'Flat rank of automorphism groups of buildings', Transformation Groups, 12 413-436 (2007) [C1]
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Nova |
2007 |
Glockner H, Willis GA, 'Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms', Topology Proceedings, 31 481-501 (2007) |
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2007 |
Willis GA, 'Compact open subgroups in simple totally disconnected groups', Journal of Algebra, 312 405-417 (2007) [C1]
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Nova |
2006 |
Dani SG, Shah NA, Willis GA, 'Locally compact groups with dense orbits under Z(d)-actions by automorphisms', Ergodic Theory and Dynamical Systems, 26 1443-1465 (2006) [C1]
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Nova |
2006 |
Baumgartner U, Willis GA, 'The direction of an automorphism of a totally disconnected locally compact group', Mathematische Zeitschrift, 252 393-428 (2006) [C1]
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Nova |
2006 |
Baumgartner U, Ramagge J, Willis GA, 'A compactly generated group whose Hecke algebras admit no bounds on their representations', Glasgow Mathematical Journal, 48 193-201 (2006) [C1]
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Nova |
2004 |
Willis GA, 'A noncommutative half-angle formula', Bulletin of Australian Mathematical Society, 69 369-382 (2004) [C1]
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Nova |
2004 |
Abdollahi A, Rejali A, Willis GA, 'Group Properties characterised by configurations', Illinois Journal of Mathematics, 48 861-873 (2004) [C1]
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Nova |
2004 |
Baumgartner U, Willis GA, 'Contraction groups and scales of automorphisms of totally disconnected locally compact groups', Israel Journal of Mathematics, 142 221-248 (2004) [C1]
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Nova |
2004 |
Willis GA, 'Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of Matrices', New York Journal of Mathematics, 10 1-35 (2004) [C1]
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Nova |
2001 |
Glockner H, Willis GA, 'Uniscalar p-adic Lie groups', FORUM MATHEMATICUM, 13 413-421 (2001) [C1]
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Nova |
2001 |
Rosenblatt JM, Willis GA, 'Weak convergence is not strong convergence for amenable groups', Canadian Math. Bull., 44 231-241 (2001) [C1]
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2001 |
Willis GA, 'Further properties of the scale function on a totally disconnected group', Journal of Algebra, 237 142-164 (2001) [C1]
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Nova |
2001 |
Willis GA, 'The number of prime factors of the scale function on a compactly generated group is finite', Bulletin London Mathematical Society, 33 168-174 (2001) [C1]
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Nova |
2001 |
Willis GA, 'Factorization in finite-codimensional ideals of group algebras', Proc. London Math. Soc., 82 676-700 (2001) [C1]
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Nova |
2001 |
Kepert AG, Willis G, 'Scale Functions and Tree Ends', Journal of Australian Mathematics Society, 70 273-292 (2001) [C1]
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2000 |
Willis GA, Loy RJ, Read CJ, Runde V, 'Amenable and weakly amenable Banach algebras with compact multiplication', Journal of Functional Analysis, 171 78-114 (2000) [C1]
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Nova |
2000 |
Willis GA, Ghahramani F, Runde V, 'Derivations on Group Algebras', Proceedings of the London Mathematical Society, 80 360-390 (2000) [C1]
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Nova |
2000 |
Willis GA, 'An extension of a non-commutative Choquet-Deny Theorem', Proceedings of the American Mathematical Society, 128 111-118 (2000) [C1]
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Nova |
1997 |
Willis G, 'Totally disconnected, nilpotent, locally compact groups', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 55 143-146 (1997)
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1997 |
Gronbaek N, Willis GA, 'Embedding nilpotent finite dimensional Banach algebras into amenable Banach algebras', JOURNAL OF FUNCTIONAL ANALYSIS, 145 99-107 (1997)
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1997 |
Ross KA, Willis G, 'Riemann sums and modular functions on locally compact groups', PACIFIC JOURNAL OF MATHEMATICS, 180 325-331 (1997)
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1996 |
Ghahramani F, Loy RJ, Willis GA, 'Amenability and weak amenability of second conjugate Banach algebras', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 1489-1497 (1996)
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1996 |
Jaworski W, Rosenblatt J, Willis G, 'Concentration functions in locally compact groups', MATHEMATISCHE ANNALEN, 305 673-691 (1996)
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1996 |
Lau ATM, Loy RJ, Willis GA, 'Amenability of Banach and C-*-algebras on locally compact groups', STUDIA MATHEMATICA, 119 161-178 (1996)
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1995 |
Willis GA, 'When the algebra generated by an operator is amenable', Journal of Operator Theory, 34 239-250 (1995) |
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1995 |
WILLIS G, 'TOTALLY DISCONNECTED GROUPS AND PROOFS OF CONJECTURES OF HOFMANN AND MUKHERJEA', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 51 489-494 (1995)
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1995 |
WILLIS GA, 'COMPRESSIBLE OPERATORS AND THE CONTINUITY OF HOMOMORPHISMS FROM ALGEBRAS OF OPERATORS', STUDIA MATHEMATICA, 115 251-259 (1995)
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1994 |
Willis G, 'Factorization in Banach algebras', Linear and Complex Analyisis Problem Book 3: Lecture Notes in Mathematics, 1573 87-89 (1994) |
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1994 |
SITARAM A, WILLIS GA, 'LP-FUNCTIONS SATISFYING THE MEAN-VALUE PROPERTY ON HOMOGENEOUS SPACES', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 56 384-390 (1994)
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1994 |
LOY RJ, WILLIS GA, 'THE APPROXIMATION PROPERTY AND NILPOTENT IDEALS IN AMENABLE BANACH-ALGEBRAS', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 49 341-346 (1994)
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1994 |
Gronbaek N, Johnson BE, Willis GA, 'AMENABILITY OF BANACH ALGEBRAS OF COMPACT OPERATORS', ISRAEL JOURNAL OF MATHEMATICS, 87 289-324 (1994)
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1994 |
DALES HG, LOY RJ, WILLIS GA, 'HOMOMORPHISMS AND DERIVATIONS FROM B(E)', JOURNAL OF FUNCTIONAL ANALYSIS, 120 201-219 (1994)
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1994 |
WILLIS G, 'THE STRUCTURE OF TOTALLY DISCONNECTED, LOCALLY COMPACT-GROUPS', MATHEMATISCHE ANNALEN, 300 341-363 (1994)
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1993 |
Somerset DWB, Willis GA, 'On the closure of the prime radical of a Banach algebra', Proceedings of the Edinburgh Mathematical Society (Series 2), 36 421-425 (1993)
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1993 |
Grønbæk N, Willis GA, 'Approximate identities in Banach algebras of compact operators', Canadian Mathematical Bulletin, 36 45-53 (1993)
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1992 |
Dixon PG, Willis GA, 'Approximate identities in extensions of topologically nilpotent Banach algebras', Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 122 45-52 (1992)
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1992 |
WILLIS G, 'EXAMPLES OF FACTORIZATION WITHOUT BOUNDED APPROXIMATE UNITS', PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 64 602-624 (1992)
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1992 |
WILLIS G, 'THE CONTINUITY OF DERIVATIONS FROM GROUP-ALGEBRAS - FACTORIZABLE AND CONNECTED GROUPS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 52 185-204 (1992)
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1992 |
Willis GA, 'The compact approximation property does not imply the approximation property', Studia Mathematica, 99-108 (1992)
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1991 |
MORAN W, WILLIS GA, 'BOUNDARIES AND MODULAR IDEALS ON LOCALLY COMPACT-GROUPS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 112 819-827 (1991)
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1990 |
WILLIS GA, 'PROBABILITY-MEASURES ON GROUPS AND SOME RELATED IDEALS IN GROUP-ALGEBRAS', JOURNAL OF FUNCTIONAL ANALYSIS, 92 202-263 (1990)
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1989 |
LOY RJ, WILLIS GA, 'CONTINUITY OF DERIVATIONS ON B(E) FOR CERTAIN BANACH SPACES-E', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 40 327-346 (1989)
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1988 |
WILLIS GA, 'CONTINUITY OF TRANSLATION INVARIANT LINEAR FUNCTIONALS ON C0(G) FOR CERTAIN LOCALLY COMPACT GROUPS-G', MONATSHEFTE FUR MATHEMATIK, 105 161-164 (1988)
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1986 |
WILLIS GA, 'THE CONTINUITY OF DERIVATIONS AND MODULE HOMOMORPHISMS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 40 299-320 (1986)
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1986 |
WILLIS GA, 'TRANSLATION INVARIANT FUNCTIONALS ON LP(G) WHEN G IS NOT AMENABLE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 41 237-250 (1986)
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1983 |
Willis GA, 'Factorization in codimension two ideals of group algebras', Proceedings of the American Mathematical Society, 89 95-100 (1983)
Let G be a finitely generated group and I be a closed, two-sided ideal with codimension two in L1(G). Then the linear span of the set of all products in is equal to I. © 1983 Amer... [more]
Let G be a finitely generated group and I be a closed, two-sided ideal with codimension two in L1(G). Then the linear span of the set of all products in is equal to I. © 1983 American Mathematical Society.
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1983 |
WILLIS GA, 'FACTORIZATION IN CODIMENSION 2 IDEALS OF GROUP-ALGEBRAS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 89 95-100 (1983)
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1983 |
WILLIS GA, 'THE NORMS OF POWERS OF FUNCTIONS IN THE VOLTERRA ALGEBRA', LECTURE NOTES IN MATHEMATICS, 975 280-281 (1983)
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1983 |
DALES HG, WILLIS GA, 'COFINITE IDEALS IN BANACH-ALGEBRAS, AND FINITE-DIMENSIONAL REPRESENTATIONS OF GROUP-ALGEBRAS', LECTURE NOTES IN MATHEMATICS, 975 397-407 (1983)
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1983 |
WILLIS GA, 'THE CONTINUITY OF DERIVATIONS FROM GROUP-ALGEBRAS AND FACTORIZATION IN COFINITE IDEALS', LECTURE NOTES IN MATHEMATICS, 975 408-421 (1983) |
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1982 |
Willis G, 'Factorization in codimension one ideals of group algebras', Proceedings of the American Mathematical Society, 86 599-601 (1982)
It is shown that if G is a locally compact group and I is a closed, two-sided ideal with codimension one in L1(G), then I2 = I. © 1982 American Mathematical Society.... [more]
It is shown that if G is a locally compact group and I is a closed, two-sided ideal with codimension one in L1(G), then I2 = I. © 1982 American Mathematical Society.
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1982 |
Willis GA, 'Approximate Units in Finite Codimensional Ideals of Group Algebras', Journal of the London Mathematical Society, s2-26 143-154 (1982)
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1982 |
WILLIS G, 'FACTORIZATION IN CODIMENSION ONE IDEALS OF GROUP-ALGEBRAS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 86 599-601 (1982)
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1982 |
WILLIS GA, 'APPROXIMATE UNITS IN FINITE CODIMENSIONAL IDEALS OF GROUP-ALGEBRAS', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 26 143-154 (1982)
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