Object's details: Amenability and Hahn-Banach extension property for set-valued mappings

Provider:Akademicka Platforma Czasopism

Description

Title:
Amenability and Hahn-Banach extension property for set-valued mappings
Creator:
Lau, Anthony To-Ming;
Yao, Liangjin
Description:
Amenability is an important notion in harmonic analysis on groups and semigroups, and their associated Banach algebras. In this paper, we present some characterization of a semitopological semigroup $S$ on the existence of a left invariant mean on $\text{\rm LUC}(S)$, $\text{\rm AP}(S)$ and $\text{\rm WAP}(S)$ in terms of Hahn-Banach extension theorem, which extend the first author's early results in 1970s. Moreover, we refine and extend the well known Day's result and Mitchell's results on fixed point properties for set-valued mappings. As an application, we give an application of our result to a class of Banach algebras related to amenability of groups and semigroups.
Object availability:
free access
Rights:
Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
Date:
2019.05.08
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 53, No 2 (June 2019); 547 - 573;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.011/17506 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.011/17507
Subject:
Amenability;
Hahn--Banach extension;
invariant mean;
semigroup;
set-valued mapping;
Primary;
46A03;
Secondary;
46A22
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.011
Data provider:
Akademicka Platforma Czasopism

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