Geodesic
Generalization of the weak amenability on various Banach algebras
Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 1-11

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

The generalized notion of weak amenability, namely $(\varphi ,\psi )$-weak amenability, where $\varphi ,\psi $ are continuous homomorphisms on a Banach algebra ${\mathcal A}$, was introduced by Bodaghi, Eshaghi Gordji and Medghalchi (2009). In this paper, the $(\varphi ,\psi )$-weak amenability on the measure algebra $M(G)$, the group algebra $L^1(G)$ and the Segal algebra $S^1(G)$, where $G$ is a locally compact group, are studied. As a typical example, the $(\varphi ,\psi )$-weak amenability of a special semigroup algebra is shown as well.
DOI : 10.21136/MB.2018.0046-17
Classification : 43A20, 46H20
Keywords: Banach algebra; $(\varphi, \psi )$-derivation; group algebra; locally compact group; measure algebra; Segal algebra; weak amenability 
@article{10_21136_MB_2018_0046_17,
     author = {Eshaghi Gordji, Madjid and Jabbari, Ali and Bodaghi, Abasalt},
     title = {Generalization of the weak amenability on various {Banach} algebras},
     journal = {Mathematica Bohemica},
     pages = {1--11},
     publisher = {mathdoc},
     volume = {144},
     number = {1},
     year = {2019},
     doi = {10.21136/MB.2018.0046-17},
     mrnumber = {3934194},
     zbl = {07088832},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0046-17/}
}
TY  - JOUR
AU  - Eshaghi Gordji, Madjid
AU  - Jabbari, Ali
AU  - Bodaghi, Abasalt
TI  - Generalization of the weak amenability on various Banach algebras
JO  - Mathematica Bohemica
PY  - 2019
SP  - 1
EP  - 11
VL  - 144
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0046-17/
DO  - 10.21136/MB.2018.0046-17
LA  - en
ID  - 10_21136_MB_2018_0046_17
ER  - 
%0 Journal Article
%A Eshaghi Gordji, Madjid
%A Jabbari, Ali
%A Bodaghi, Abasalt
%T Generalization of the weak amenability on various Banach algebras
%J Mathematica Bohemica
%D 2019
%P 1-11
%V 144
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0046-17/
%R 10.21136/MB.2018.0046-17
%G en
%F 10_21136_MB_2018_0046_17
Eshaghi Gordji, Madjid; Jabbari, Ali; Bodaghi, Abasalt. Generalization of the weak amenability on various Banach algebras. Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 1-11. doi: 10.21136/MB.2018.0046-17

Cité par Sources :