Fixed point property and the Fourier algebra of a locally compact group

DOI10.1090/S0002-9947-08-04622-9zbMath1153.43008OpenAlexW1995395562MaRDI QIDQ3542008

Michael Leinert, Anthony To-Ming Lau

Publication date: 27 November 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04622-9

zbMATH Keywords

weak fixed point propertyfixed point propertyFourier algebra(non-commutative) \(L^1\)-space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Abstract harmonic analysis (43A99) Radon-Nikodým, Kre?n-Milman and related properties (46B22) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (16)

Dual spaces and translation invariant means on group von Neumann 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 ⋮ Strongly amenable semigroups and nonlinear fixed point properties ⋮ Unnamed Item ⋮ Fixed point properties of semigroups of non-expansive mappings ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Fixed point set of semigroups of non-expansive mappings and amenability ⋮ Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces ⋮ Renormings and the fixed point property in non-commutative \(L_{1}\)-spaces ⋮ A renorming in some Banach spaces with applications to fixed point theory ⋮ Fixed point properties of semigroups of nonexpansive mappings ⋮ Fixed point properties in Hardy spaces ⋮ 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

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