Amenability and contractibility modulo an ideal of Banach algebras
type: Item
instance of: scholarly article
title: Amenability and contractibility modulo an ideal of Banach algebras
zbMATH Open document ID: 1474.43002
DOI: 10.1155/2014/514761
author: Hamidreza Rahimi
author: E. Tahmasebi
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate the concept of amenability modulo an ideal of Banach algebra, showing that amenability modulo an ideal can be characterized by the existence of virtual and approximate diagonal modulo an ideal. We also study the concept of contractible modulo an ideal of Banach algebra. As a consequence, we prove a version of Selivanov's theorem for a large class of semigroups, including \(E\)-inversive \(E\)-semigroup and eventually inverse semigroups.
Mathematics Subject Classification ID: 43A07
Mathematics Subject Classification ID: 47L40
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7022531
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/514761
OpenAlex ID: W1966223441
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Wikidata QID: Q59039023
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description: scientific article; zbMATH DE number 7022531