Constructions preserving n -weak amenability of Banach algebras

A. Jabbari; Mohammad Sal Moslehian; H. R. E. Vishki

Mathematica Bohemica (2009)

  • Volume: 134, Issue: 4, page 349-357
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Jabbari, A., Moslehian, Mohammad Sal, and Vishki, H. R. E.. "Constructions preserving $n$-weak amenability of Banach algebras." Mathematica Bohemica 134.4 (2009): 349-357. <http://eudml.org/doc/38097>.

@article{Jabbari2009,
abstract = {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.},
author = {Jabbari, A., Moslehian, Mohammad Sal, Vishki, H. R. E.},
journal = {Mathematica Bohemica},
keywords = {weak amenability; $n$-weak amenability; derivation; second dual; direct sum; Banach algebra; Arens product; weak amenability; -weak amenability; derivation; second dual; direct sum; Banach algebra; Arens product},
language = {eng},
number = {4},
pages = {349-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Constructions preserving $n$-weak amenability of Banach algebras},
url = {http://eudml.org/doc/38097},
volume = {134},
year = {2009},
}

TY - JOUR
AU - Jabbari, A.
AU - Moslehian, Mohammad Sal
AU - Vishki, H. R. E.
TI - Constructions preserving $n$-weak amenability of Banach algebras
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 4
SP - 349
EP - 357
AB - 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.
LA - eng
KW - weak amenability; $n$-weak amenability; derivation; second dual; direct sum; Banach algebra; Arens product; weak amenability; -weak amenability; derivation; second dual; direct sum; Banach algebra; Arens product
UR - http://eudml.org/doc/38097
ER -

References

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