Weak Amenability of a Class of Banach Algebras
Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 504-508
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We show that, if a Banach algebra $\mathfrak{A}$ is a left ideal in its second dual algebra and has a left bounded approximate identity, then the weak amenability of $\mathfrak{A}$ implies the $\left( 2m+1 \right)$ -weak amenability of $\mathfrak{A}$ for all $m\,\ge \,1$ .
Mots-clés :
46H20, 46H10, 46H25, n-weak amenability, left ideals, left bounded approximate identity
Zhang, Yong. Weak Amenability of a Class of Banach Algebras. Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 504-508. doi: 10.4153/CMB-2001-050-7
@article{10_4153_CMB_2001_050_7,
author = {Zhang, Yong},
title = {Weak {Amenability} of a {Class} of {Banach} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {504--508},
year = {2001},
volume = {44},
number = {4},
doi = {10.4153/CMB-2001-050-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-050-7/}
}
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