Approximate weak amenability of abstract Segal algebras

In this paper we consider some notions of amenability such as ideal amenability, n-ideal amenability and approximate n-ideal amenability. The first two were introduced and studied by Gordji, Yazdanpanah and Memarbashi. We investigate some properties of certain Banach algebras in each of these classes. Results are also given for Segal algebras on locally compact groups.2010 Mathematics subject classification: primary 46H05; secondary 43A07.

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Homological properties of banach modules over abstract segal algebras

Nasr-Isfahani

Nemati

Renani

2017

Mathematica Slovaca

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Approximate weak amenability of abstract Segal algebras

Abstract: In this paper the approximate weak amenability of abstract Segal algebras is investigated. Applications to compact groups are given. Also an open problem raised by Ghahramani and Lau is answered negatively.

Cited by 3 publications

References 7 publications

Amenability and Super-amenability of Some Feichtinger Algebras

Amenability and Super-amenability of Some Feichtinger Algebras

ONn-IDEAL AMENABILITY OF CERTAIN BANACH ALGEBRAS

Homological properties of banach modules over abstract segal algebras

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