Fixed point property and normal structure for Banach spaces associated to locally compact groups

DOI10.1090/S0002-9939-97-03773-8zbMath0868.43001OpenAlexW1546297482MaRDI QIDQ4339179

Peter F. Mah, Anthony To-Ming Lau, Ali Ülger

Publication date: 5 June 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03773-8

zbMATH Keywords

Banach spacesgroup algebrafixed point propertynonexpansive mappings\(C^{*}\)-algebraRadon Nikodym propertyLocally compact groupsFourier and Fourier-Stieltjes algebrasuniformly Kadec-Klee propertyweak-normal structure

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Unitary representations of locally compact groups (22D10) Scattered spaces (54G12) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Measure algebras on groups, semigroups, etc. (43A10)

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Fixed point properties of \(C^{*}\)-algebras ⋮ An approximation method for common fixed points of a finite family of asymptotic pointwise nonexpansive mappings ⋮ Nonexpansive mappings on abelian Banach algebras and their fixed points ⋮ Weak\(^*\) fixed point property of reduced Fourier-Stieltjes algebra and generalization of Baggett's theorem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point properties of semigroups of non-expansive mappings ⋮ Fixed point property and the Fourier algebra of a locally compact group ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Fixed point set of semigroups of non-expansive mappings and amenability ⋮ The fixed point property of unital abelian Banach algebras ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Fixed point properties of semigroups of nonexpansive mappings ⋮ The fixed point property of a Banach algebra generated by an element with infinite spectrum ⋮ Fixed point properties, invariant means and invariant projections related to hypergroups ⋮ Normal structure and fixed point properties for some Banach algebras ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Fixed point property for Banach algebras associated to locally compact groups ⋮ On 𝐶₀(𝑆,𝑋)-distortion of the class of all separable Banach spaces

Cites Work

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