Title : ( LIFTING DERIVATIONS ANDn-WEAK AMENABILITY OF THE SECOND DUAL OF A BANACH ALGEBRA )
Authors: sedigheh barootkoob , Hamid Reza Ebrahimi Vishki ,
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Abstract
We show that for n geq 2 , n-weak amenability of the second dual A^** of a Banach algebra A implies that of A. We also provide a positive answer for the case n=1, which sharpens some older results. Our method of proof also provides a unified approach to give short proofs for some known results in the case where n=1.
Keywords
, weak amenability, n-weak amenability, derivation, second dual, Arens product
@article{paperid:1022902,
author = {Barootkoob, Sedigheh and Ebrahimi Vishki, Hamid Reza},
title = {LIFTING DERIVATIONS ANDn-WEAK AMENABILITY OF THE SECOND DUAL OF A BANACH ALGEBRA},
journal = {Bulletin of Australian Mathematical Society},
year = {2011},
volume = {83},
number = {1},
month = {February},
issn = {0004-9727},
pages = {122--129},
numpages = {7},
keywords = {weak amenability; n-weak amenability; derivation; second dual; Arens product},
}
%0 Journal Article
%T LIFTING DERIVATIONS ANDn-WEAK AMENABILITY OF THE SECOND DUAL OF A BANACH ALGEBRA
%A Barootkoob, Sedigheh
%A Ebrahimi Vishki, Hamid Reza
%J Bulletin of Australian Mathematical Society
%@ 0004-9727
%D 2011
