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n-Weak Module Amenability of Triangular Banach Algebras

Mathematica Slovaca, 2015-06, Vol.65 (3), p.645-666 [Peer Reviewed Journal]

Copyright Walter de Gruyter GmbH 2015 ;ISSN: 0139-9918 ;EISSN: 1337-2211 ;DOI: 10.1515/ms-2015-0045

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  • Title:
    n-Weak Module Amenability of Triangular Banach Algebras
  • Author: Bodaghi, Abasalt ; Jabbari, Ali
  • Is Part Of: Mathematica Slovaca, 2015-06, Vol.65 (3), p.645-666
  • Description: Let A, B be Banach A-modules with compatible actions and M be a left Banach A- A-module and a right Banach B- A-module. In the current paper, we study module amenability, n-weak module amenability and module Arens regularity of the triangular Banach algebra - . We employ these results to prove that for an inverse semigroup S with subsemigroup E of idempotents, the triangular Banach algebra is permanently weakly module amenable (as an . As an example, we show that T0 is T0-module Arens regular if and only if the maximal group homomorphic image GS of S is finite.
  • Publisher: Heidelberg: De Gruyter Open
  • Language: English;Czech;French;German;Russian;Slovak
  • Identifier: ISSN: 0139-9918
    EISSN: 1337-2211
    DOI: 10.1515/ms-2015-0045
  • Source: ProQuest Central
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