Essential character amenability of semigroup algebras

Let S be a foundation topological semigroup and M a ( S ) the space of all measures μ ∈ M ( S ) for which the maps x ⟼ | μ | ∗ δ x and x ⟼ δ x ∗ | μ | from S into M ( S ) are weakly continuous. In the present paper, we introduce and study the concept of ϕ -amenability for S and investigate the relat...

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Bibliographic Details
Published inSemigroup forum Vol. 102; no. 2; pp. 528 - 542
Main Author Nahrekhalaji, Hamid Sadeghi
Format Journal Article
LanguageEnglish
Published New York Springer US 01.04.2021
Springer Nature B.V
Subjects
Algebra
Mathematics
Mathematics and Statistics
Research Article
Banach algebra
Essential character amenability
Amenability
Topological semigroup
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Summary:Let S be a foundation topological semigroup and M a ( S ) the space of all measures μ ∈ M ( S ) for which the maps x ⟼ | μ | ∗ δ x and x ⟼ δ x ∗ | μ | from S into M ( S ) are weakly continuous. In the present paper, we introduce and study the concept of ϕ -amenability for S and investigate the relations between ϕ -amenability of S and essential ϕ ^ -amenability of M a ( S ) , where ϕ is a character on S and ϕ ^ is the extension of ϕ to M a ( S ) .
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-020-10155-w