Weak amenability for the second dual of Banach modules

Fatemeh Anousheh; Davood Ebrahimi Bagha; Abasalt Bodaghi

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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Let A be a Banach algebra, E be a Banach A-bimodule and Δ E → A be a bounded Banach A-bimodule homomorphism. It is shown that under some mild conditions, the weakΔ''-amenability of E'' (as an A''-bimodule) necessitates weak Δ-amenability of E (as an A-bimodule). Some examples of weak-amenable Banach modules are provided as well.

How to cite

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Fatemeh Anousheh, Davood Ebrahimi Bagha, and Abasalt Bodaghi. "Weak amenability for the second dual of Banach modules." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/275913>.

@article{FatemehAnousheh2015,
abstract = {Let A be a Banach algebra, E be a Banach A-bimodule and Δ E → A be a bounded Banach A-bimodule homomorphism. It is shown that under some mild conditions, the weakΔ''-amenability of E'' (as an A''-bimodule) necessitates weak Δ-amenability of E (as an A-bimodule). Some examples of weak-amenable Banach modules are provided as well.},
author = {Fatemeh Anousheh, Davood Ebrahimi Bagha, Abasalt Bodaghi},
journal = {Open Mathematics},
keywords = {Banach modules; Module amenability; Weak module amenability},
language = {eng},
number = {1},
pages = {null},
title = {Weak amenability for the second dual of Banach modules},
url = {http://eudml.org/doc/275913},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Fatemeh Anousheh
AU - Davood Ebrahimi Bagha
AU - Abasalt Bodaghi
TI - Weak amenability for the second dual of Banach modules
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - Let A be a Banach algebra, E be a Banach A-bimodule and Δ E → A be a bounded Banach A-bimodule homomorphism. It is shown that under some mild conditions, the weakΔ''-amenability of E'' (as an A''-bimodule) necessitates weak Δ-amenability of E (as an A-bimodule). Some examples of weak-amenable Banach modules are provided as well.
LA - eng
KW - Banach modules; Module amenability; Weak module amenability
UR - http://eudml.org/doc/275913
ER -

References

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