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 $m\,\ge \,1$ .
DOI : 10.4153/CMB-2001-050-7
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
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     title = {Weak {Amenability} of a {Class} of {Banach} {Algebras}},
     journal = {Canadian mathematical bulletin},
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     year = {2001},
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     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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