Approximate weak amenability of Banach algebras

Details Approximate weak amenability of Banach algebras Approximate weak amenability of Banach algebras

2009-08-25

arxiv.org/abs/0908.3577v2

Mathematics

Functional Analysis

This is the revised version of former manuscript which will appear in the Bulletin of the Belgian Mathematical Society-Simon S

Scientific paper

In this paper we deal with four generalized notions of amenability which are called approximate, approximate weak, approximate cyclic and approximate $n$-weak amenability. The first two were introduced and studied by Ghahramani and Loy in [9]. We introduce the third and fourth ones and we show by means of some examples, their distinction with their classic analogs. Our main result is that under some mild conditions on a given Banach algebra $\A$, if its second dual $\A^{**}$ is $(2n-1)$-weakly [respectively approximately/ approximately weakly/ approximately $n$-weakly] amenable, then so is $\A$. Also if $\A$ is approximately $(n+2)$-weakly amenable, then it is approximately $n$-weakly amenable. Moreover we show the relationship between approximate trace extension property and approximate weak [respectively cyclic] amenability. This answers question 9.1 of [9] for approximate weak and cyclic amenability.

Affiliated with

Also associated with

No associations

Rating

Approximate weak amenability of Banach algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Approximate weak amenability of Banach algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximate weak amenability of Banach algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-233113