1Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) 2Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P. O. Box 19395-5746, Tehran, Iran
Colloquium Mathematicum, Tome 130 (2013) no. 2, pp. 147-157
For two Banach algebras $\cal A$ and $\cal B$, an interesting product ${\cal A}\times _{\theta }{\cal B}$, called the $\theta $-Lau product, was recently introduced and studied for some nonzero characters $\theta $ on $\cal B$. Here, we characterize some notions of amenability as approximate amenability, essential amenability, $n$-weak amenability and cyclic amenability between $\cal A$ and $\cal B$ and their $\theta $-Lau product.
Keywords:
banach algebras cal cal interesting product cal times theta cal called theta lau product recently introduced studied nonzero characters theta cal here characterize notions amenability approximate amenability essential amenability n weak amenability cyclic amenability between cal cal their theta lau product
1
Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM)
2
Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156-83111, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P. O. Box 19395-5746, Tehran, Iran
@article{10_4064_cm130_2_1,
author = {Eghbal Ghaderi and Rasoul Nasr-Isfahani and Mehdi Nemati},
title = {Some notions of amenability for certain products of {Banach} algebras},
journal = {Colloquium Mathematicum},
pages = {147--157},
year = {2013},
volume = {130},
number = {2},
doi = {10.4064/cm130-2-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm130-2-1/}
}
TY - JOUR
AU - Eghbal Ghaderi
AU - Rasoul Nasr-Isfahani
AU - Mehdi Nemati
TI - Some notions of amenability for certain products of Banach algebras
JO - Colloquium Mathematicum
PY - 2013
SP - 147
EP - 157
VL - 130
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm130-2-1/
DO - 10.4064/cm130-2-1
LA - en
ID - 10_4064_cm130_2_1
ER -
%0 Journal Article
%A Eghbal Ghaderi
%A Rasoul Nasr-Isfahani
%A Mehdi Nemati
%T Some notions of amenability for certain products of Banach algebras
%J Colloquium Mathematicum
%D 2013
%P 147-157
%V 130
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm130-2-1/
%R 10.4064/cm130-2-1
%G en
%F 10_4064_cm130_2_1
Eghbal Ghaderi; Rasoul Nasr-Isfahani; Mehdi Nemati. Some notions of amenability for certain products of Banach algebras. Colloquium Mathematicum, Tome 130 (2013) no. 2, pp. 147-157. doi: 10.4064/cm130-2-1
