Title of article
Module Bounded Approximate Amenability of Banach Algebras
Author/Authors
Hemmatzadeh, Amineh Azarbaijan Shahid Madani University, Tabriz , Pourmahmood Aghababa, Hassan University of Tabriz, Tabriz , Sattari, Mohammad Hossein Azarbaijan Shahid Madani University, Tabriz
Pages
16
From page
1
To page
16
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
Keywords
module boundedly approximately amenable , module derivation , boundedly approximately inner
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2022
Record number
2702355
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