Asymptotically non-expansive actions of strongly amenable semigroups and fixed points
type: Item
instance of: scholarly article
title: Asymptotically non-expansive actions of strongly amenable semigroups and fixed points
zbMATH Open document ID: 1394.22005
author: Abdolmohammad Aminpour
author: Ayatollah Dianatifar
author: Rasoul Nasr-Isfahani
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-03-22T00:00:00Z
review text: Let \(S\) be a semi-topological semigroup and let \(LMC(S)\) be the space of left multiplicatively continuous functions on \(S\). The authors study conditions under which \(LMC(S)\) is strongly left amenable (in this case it is left amenable). One of the main results says that \(LMC(S)\) is strongly left amenable if and only if there exists a compact \(S\)-preserving group in \(\Delta (LMC(S))\). Here \(\Delta (LMC(S))\) is the spectrum of \(LMC(S)\) consisting of all multiplicative means on \(LMC(S)\) with the weak* topology.
reviewed by: Khristo N. Boyadzhiev
Mathematics Subject Classification ID: 22A25
Mathematics Subject Classification ID: 43A75
zbMATH DE Number: 6852015
zbMATH Keywords: semi-topological semigroup
zbMATH Keywords: strong amenability
zbMATH Keywords: left ideal groups
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.12.061
OpenAlex ID: W2784103842
cites work: Voiculescu amenable Hopf von Neumann algebras with applications
cites work: Spaces of functions determined by iterated limits at infinity on an oid
cites work: Compact left ideal groups in semigroup compactification of locally compact groups
cites work: Fixed-point theorems for families of contraction mappings
cites work: Nonexpansive mappings and fixed-points in Banach spaces
cites work: Compact right topological semigroups and generalizations of almost periodicity
cites work: Strongly amenable semigroups and nonlinear fixed point properties
cites work: Amenable semigroups
cites work: Common fixed points for commuting contraction mappings
cites work: Common fixed point properties and amenability of a class of Banach algebras
cites work: Pseudo-amenability of certain semigroup algebras
cites work: Extremely Amenable Semigroups.
cites work: Invariant means on locally compact groups
cites work: Q5723435
cites work: Asymptotically Non-Expansive Actions of Topological Semigroups and Fixed Points
cites work: On Asymptotically Nonexpansive Semigroups of Mappings
cites work: Fixed points of non-expansive mappings associated with invariant means in a Banach space
cites work: Topological Semigroups with Invariant Means in the Convex Hull of Multiplicative Means
cites work: Invariant means on almost periodic functions and fixed point properties
cites work: Finite dimensional invariant subspaces for a semigroup of linear operators
cites work: Normal structure and common fixed point properties for semigroups of nonexpansive mappings in Banach spaces
cites work: On the Structure of Minimal Left Ideals in the Largest Compactification of a Locally Compact Group
cites work: Fixed point properties of semigroups of non-expansive mappings
cites work: Fixed point properties for semigroups of nonlinear mappings and amenability
cites work: Finite-dimensional invariant subspace property and amenability for a class of Banach algebras
cites work: Fixed point properties for semigroups of nonlinear mappings on unbounded sets
cites work: Density of discrete semigroup flows
cites work: Fixed Points and Multiplicative Left Invariant Means
cites work: Topological semigroups and fixed points
cites work: Fixed point properties of semigroups of nonexpansive mappings
cites work: Fixed point theorem for amenable semigroup of nonexpansive mappings
cites work: Amenable semigroups of nonexpansive mappings on weakly compact convex sets
DOI: 10.1016/J.JMAA.2017.12.061
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description: scientific article; zbMATH DE number 6852015