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- Title
Module Bounded Approximate Amenability of Banach Algebras.
- Authors
Hemmatzadeh, A.; Pourmahmood Aghababa, H.; Sattari, M. H.
- Abstract
In this study we continue an investigation of the notion of module approximate amenability of a Banach algebra A which is a module over another Banach algebra A. In fact we introduce the class of module boundedly approximately amenable Banach algebras (m.b.app.am.) . It is shown that the class of module boundedly approximately amenable Banach algebra is different from the class of amenable Banach algebras. Also, we show that for an inverse semigroup S with the set of idempotent E, l¹ (S) is module boundedly approximately amenable as l¹ (E)-module if and only if S is amenable. Further examples are given of l¹ -semigroup Banach algebras which are module boundedly approximately amenable but are not amenable.
- Subjects
BANACH algebras; INVERSE semigroups; IDEMPOTENTS; MATHEMATICAL formulas; MATHEMATICAL analysis
- Publication
Journal of Mathematical Extension, 2022, Vol 16, Issue 6, p1
- ISSN
1735-8299
- Publication type
Article