1. Problems concerning $n$-weak amenability of a Banach algebra
- Creator:
- Medghalchi, Alireza and Yazdanpanah, Taher
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Banach algebra, weakly amenable, Arens regular, and $n$-weakly amenable
- Language:
- English
- 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 $n \in \mathbb{Z}$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public