Weak Amenability of a Class of Banach Algebras
Canadian mathematical bulletin, Tome 44 (2001) no. 4, pp. 504-508

Voir la notice de l'article provenant de la source Cambridge University Press

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
@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/}
}
TY  - JOUR
AU  - Zhang, Yong
TI  - Weak Amenability of a Class of Banach Algebras
JO  - Canadian mathematical bulletin
PY  - 2001
SP  - 504
EP  - 508
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-050-7/
DO  - 10.4153/CMB-2001-050-7
ID  - 10_4153_CMB_2001_050_7
ER  - 
%0 Journal Article
%A Zhang, Yong
%T Weak Amenability of a Class of Banach Algebras
%J Canadian mathematical bulletin
%D 2001
%P 504-508
%V 44
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-050-7/
%R 10.4153/CMB-2001-050-7
%F 10_4153_CMB_2001_050_7

[1] [1] Arens, R., The adjoint of a bilinear operation. Proc. Amer.Math. Soc. 2 (1951), 839–848. Google Scholar

[2] [2] Dales, H. G., Ghahramani, F. and Gronbaek, N., Derivations into iterated duals of Banach algebras. Studia Math. 128 (1998), 19–54. Google Scholar

[3] [3] Duncan, J. and Hosseiniun, S. A. R., The second dual of a Banach algebra. Proc. Roy. Soc. Edinburgh 84A(1979), 309–325. Google Scholar

[4] [4] Johnson, B. E., Cohomology in Banach algebras. Mem. Amer.Math. Soc. 127, 1972. Google Scholar

[5] [5] Zhang, Yong,Weak amenability of module extensions of Banach algebras. Preprint. Google Scholar

Cité par Sources :