Some Geometric Properties on the Fourier and Fourier Stieltjes Algebras of Locally Compact Groups, Arens Regularity and Related Problems

DOI10.2307/2154325zbMath0778.43003OpenAlexW4235108322MaRDI QIDQ4695371

Anthony To-Ming Lau, Ali Ülger

Publication date: 19 December 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154325

zbMATH Keywords

tensor productsSchur propertyDunford-Pettis propertylocally compact groupirreducible representationsmultiplication operatorsRadon-Nikodym propertygroup \(C^*\)-algebraArens regularityleft regular representationFourier-Stieltjes algebrasatomicity of unitary representations

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80) Tensor products in functional analysis (46M05)

Related Items (22)

Lebesgue type decomposition of subspaces of Fourier-Stieltjes algebras ⋮ The \(\tau\)-fixed point property for left reversible semigroups ⋮ Weak sequential properties of the multiplication operators on Banach algebras ⋮ Dual spaces and translation invariant means on group von Neumann algebras ⋮ Projective operator spaces, almost periodicity and completely complemented ideals in the Fourier algebra ⋮ Herz-Schur multipliers and weakly almost periodic functions on locally compact groups ⋮ Weak\(^*\) fixed point property of reduced Fourier-Stieltjes algebra and generalization of Baggett's theorem ⋮ Fixed point property and normal structure for Banach spaces associated to locally compact groups ⋮ Unnamed Item ⋮ Fixed point property and the Fourier algebra of a locally compact group ⋮ Duality between compactness and discreteness beyond Pontryagin duality ⋮ On Arens regularity of projective tensor product of Schatten spaces ⋮ Weak*-closedness of subspaces of Fourier-Stieltjes algebras and weak*-continuity of the restriction map ⋮ Almost periodic functionals on some class of Banach algebras ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Fixed point properties of semigroups of nonexpansive mappings ⋮ Arens regularity of projective tensor products ⋮ Normal structure and fixed point properties for some Banach algebras ⋮ Geometry of \(C^\ast \)-algebras, and the bidual of their projective tensor product ⋮ Fixed point property for Banach algebras associated to locally compact groups ⋮ Extensions and isomorphisms for the generalized Fourier algebras of a locally compact group

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