Generalization of the weak amenability on various Banach algebras

Eshaghi Gordji, Madjid, Jabbari, Ali, and Bodaghi, Abasalt. "Generalization of the weak amenability on various Banach algebras." Mathematica Bohemica 144.1 (2019): 1-11. <http://eudml.org/doc/294721>.

@article{EshaghiGordji2019,
abstract = {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.},
author = {Eshaghi Gordji, Madjid, Jabbari, Ali, Bodaghi, Abasalt},
journal = {Mathematica Bohemica},
keywords = {Banach algebra; $(\varphi ,\psi )$-derivation; group algebra; locally compact group; measure algebra; Segal algebra; weak amenability},
language = {eng},
number = {1},
pages = {1-11},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalization of the weak amenability on various Banach algebras},
url = {http://eudml.org/doc/294721},
volume = {144},
year = {2019},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 144
IS - 1
SP - 1
EP - 11
AB - 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.
LA - eng
KW - Banach algebra; $(\varphi ,\psi )$-derivation; group algebra; locally compact group; measure algebra; Segal algebra; weak amenability
UR - http://eudml.org/doc/294721
ER -