Constructions preserving $n$-weak amenability of Banach algebras
Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 349-357.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.
DOI : 10.21136/MB.2009.140667
Classification : 46H20, 46H25
Keywords: weak amenability; $n$-weak amenability; derivation; second dual; direct sum; Banach algebra; Arens product
@article{10_21136_MB_2009_140667,
     author = {Jabbari, A. and Moslehian, M. S. and Vishki, H. R. E.},
     title = {Constructions preserving $n$-weak amenability of {Banach} algebras},
     journal = {Mathematica Bohemica},
     pages = {349--357},
     publisher = {mathdoc},
     volume = {134},
     number = {4},
     year = {2009},
     doi = {10.21136/MB.2009.140667},
     mrnumber = {2597230},
     zbl = {1212.46067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140667/}
}
TY  - JOUR
AU  - Jabbari, A.
AU  - Moslehian, M. S.
AU  - Vishki, H. R. E.
TI  - Constructions preserving $n$-weak amenability of Banach algebras
JO  - Mathematica Bohemica
PY  - 2009
SP  - 349
EP  - 357
VL  - 134
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140667/
DO  - 10.21136/MB.2009.140667
LA  - en
ID  - 10_21136_MB_2009_140667
ER  - 
%0 Journal Article
%A Jabbari, A.
%A Moslehian, M. S.
%A Vishki, H. R. E.
%T Constructions preserving $n$-weak amenability of Banach algebras
%J Mathematica Bohemica
%D 2009
%P 349-357
%V 134
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140667/
%R 10.21136/MB.2009.140667
%G en
%F 10_21136_MB_2009_140667
Jabbari, A.; Moslehian, M. S.; Vishki, H. R. E. Constructions preserving $n$-weak amenability of Banach algebras. Mathematica Bohemica, Tome 134 (2009) no. 4, pp. 349-357. doi : 10.21136/MB.2009.140667. http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140667/

Cité par Sources :