Weak amenability and 2-weak amenability of Beurling algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:346

Article

Samei, Ebrahim

关键词: locally compact groups;    group algebras;    weight function;    Beurling algebras;    derivations;    weakly amenable;    2-weakly amenable;   

DOI  :  10.1016/j.jmaa.2008.05.085

来源: Elsevier

【 摘 要 】

Let L-omega(1)(G) be a Beurling algebra on a locally compact abelian group G. We look for general conditions on the weight which allows the vanishing of continuous derivations of L-omega(1)(G). This leads us to introducing vector-valued Bending algebras and considering the translation of operators on them. This is then used to connect the augmentation ideal to the behavior of the derivation space. We apply these results to give examples of various classes of Beurling algebras which are weakly amenable, 2-weakly amenable or fail to be even 2-weakly amenable. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free