Automatic continuity and representation of certain linear isomorphisms between group algebras

DOI10.1016/0019-3577(96)81755-1zbMath0840.43006OpenAlexW1988455920MaRDI QIDQ1909239

Juan J. Font, Salvador Hernández

Publication date: 11 March 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)81755-1

zbMATH Keywords

linear operatorHaar measuretranslationslocally compact Abelian groupsdisjointness preservingabsolutely integrablelinear bijectionsseparating bijections

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (10)

Disjointness preserving maps between vector-valued group algebras ⋮ Orthogonality preserving linear maps on group algebras ⋮ Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups ⋮ On the fourier algebra of certain hypergroups ⋮ Automatic continuity of certain isomorphisms between regular Banach function algebras ⋮ Weight-preserving isomorphisms between spaces of continuous functions: the scalar case ⋮ Linear maps on group algebras determined by the action of the derivations or anti-derivations on a set of orthogonal elements ⋮ Disjointness preserving operators between little Lipschitz algebras ⋮ Representation of group isomorphisms: the compact case ⋮ Automatic continuity of biseparating homomorphisms defined between groups of continuous functions

Cites Work

• Homomorphisms of certain algebras of measures
• Automatic continuity of linear maps on spaces of continuous functions
• Homomorphisms of group algebras with norm less than \(\sqrt2\)
• On separating maps between locally compact spaces
• Norm decreasing homomorphisms of group algebras
• Stone-Čech compactification of a product
• Isomorphisms of Abelian group algebras
• Automatic Continuity of Separating Linear Isomorphisms
• On Homomorphisms of Group Algebras
• A Note on Disjointness Preserving Operators
• Operators on Banach Lattices as Weighted Compositions
• Isometric Isomorphisms of Measure Algebras
• A theorem on functions defined on a semi-group
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