Some notions of amenability for certain products of Banach algebras

Eghbal Ghaderi; Rasoul Nasr-Isfahani; Mehdi Nemati

Colloquium Mathematicae (2013)

  • Volume: 130, Issue: 2, page 147-157
  • ISSN: 0010-1354

Abstract

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For two Banach algebras and ℬ, an interesting product × θ , called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.

How to cite

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Eghbal Ghaderi, Rasoul Nasr-Isfahani, and Mehdi Nemati. "Some notions of amenability for certain products of Banach algebras." Colloquium Mathematicae 130.2 (2013): 147-157. <http://eudml.org/doc/283995>.

@article{EghbalGhaderi2013,
abstract = {For two Banach algebras and ℬ, an interesting product $ ×_\{θ\}ℬ$, called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.},
author = {Eghbal Ghaderi, Rasoul Nasr-Isfahani, Mehdi Nemati},
journal = {Colloquium Mathematicae},
keywords = {amenability; Banach algebra; approximate amenability; essential amenability; -weak amenability; cyclic amenability},
language = {eng},
number = {2},
pages = {147-157},
title = {Some notions of amenability for certain products of Banach algebras},
url = {http://eudml.org/doc/283995},
volume = {130},
year = {2013},
}

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 Mathematicae
PY - 2013
VL - 130
IS - 2
SP - 147
EP - 157
AB - For two Banach algebras and ℬ, an interesting product $ ×_{θ}ℬ$, called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.
LA - eng
KW - amenability; Banach algebra; approximate amenability; essential amenability; -weak amenability; cyclic amenability
UR - http://eudml.org/doc/283995
ER -

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