Problems concerning $n$-weak amenability of a Banach algebra

Title:

Problems concerning $n$-weak amenability of a Banach algebra

Creator:

Medghalchi, Alireza and Yazdanpanah, Taher

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b15ae08f-a612-4297-9532-687dd7ce3108
uuid:b15ae08f-a612-4297-9532-687dd7ce3108

Subject:

Banach algebra, weakly amenable, Arens regular, and $n$-weakly amenable

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper we extend the notion of $n$-weak amenability of a Banach algebra $\mathcal A$ when $n\in \mathbb{N}$. Technical calculations show that when $\mathcal A$ is Arens regular or an ideal in $\mathcal A^{**}$, then $\mathcal A^*$ is an $\mathcal A^{(2n)}$-module and this idea leads to a number of interesting results on Banach algebras. We then extend the concept of $n$-weak amenability to $n \in \mathbb{Z}$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

863-876

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:4

Harvested from:

CDK

Metadata only:

false