Isometric Isomorphisms Between Banach Algebras Related to Locally Compact Groups

DOI10.2307/2001602zbMath0711.43002OpenAlexW2002886504MaRDI QIDQ3496731

Anthony To-Ming Lau, Fereidoun Ghahramani, Viktor Losert

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001602

zbMATH Keywords

Banach algebralocally compact groupsisometric isomorphismArens multiplicationcontinuous dualBanach space of left uniformly continuous functions

Mathematics Subject Classification ID

Group algebras of locally compact groups (22D15) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (34)

On the ideal structure of some Banach algebras related to convolution operators on \(L^{p}(G)\) ⋮ Convolution operators on group algebras which are tauberian or cotauberian ⋮ One-sided ideals and right cancellation in the second dual of the group algebra and similar algebras ⋮ Locally convex algebras which determine a locally compact group ⋮ Weak amenability of Banach algebras on locally compact groups ⋮ Isomorphisms and multipliers on second dual algebras of Banach algebras ⋮ Generalized notions of character amenability ⋮ Analysis on semihypergroups: function spaces, homomorphisms and ideals ⋮ Isomorphisms between the second duals of group algebras of locally compact groups ⋮ Amenability and weak amenability of second conjugate Banach algebras ⋮ Homomorphisms of convolution algebras ⋮ Quantum semigroup compactifications and uniform continuity on locally compact quantum groups ⋮ Contractive projections on Banach algebras ⋮ Generalized notions of amenability. ⋮ Topological centers of certain dual algebras ⋮ Free product on semihypergroups ⋮ Some properties of \(LUC({\mathcal X},{\mathcal G})^*\) as a Banach left \(LUC({\mathcal G})^*\)-module ⋮ Banach algebras on semigroups and on their compactifications ⋮ The second dual algebra of a hypergroup ⋮ Weakly compact multipliers on Banach algebras related to a locally compact group ⋮ On the density of the Fourier-Stieltjes algebra ⋮ On ideals in the bidual of the Fourier algebra and related algebras ⋮ Topological centers of module actions induced by unitary representations ⋮ Completely isometric representations of $M_{cb}A(G)$ and $UCB(\hat G)^*$ ⋮ Derivations on Banach algebras of connected multiplicative linear functionals ⋮ Completely continuous elements of Banach algebras related to locally compact groups ⋮ Slowly oscillating functions in semigroup compactifications and convolution algebras ⋮ Isometric isomorphisms of Beurling algebras ⋮ COMPACT LEFT MULTIPLIERS ON BANACH ALGEBRAS RELATED TO LOCALLY COMPACT GROUPS ⋮ Extension of Fourier algebra homomorphisms to duals of algebras of uniformly continuous functionals ⋮ Norm-multiplicative homomorphisms of Beurling algebras ⋮ Banach algebra structure and amenability of a class of matrix algebras with applications ⋮ Isometric isomorphisms on the dual and second dual of a hypergroup ⋮ Duals and topological center of a class of matrix algebras with applications

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