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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 19, 2015

Weak amenability for the second dual of Banach modules

  • Fatemeh Anousheh , Davood Ebrahimi Bagha and Abasalt Bodaghi
From the journal Open Mathematics

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.

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Received: 2015-6-1
Accepted: 2015-8-28
Published Online: 2015-10-19

©2015 Anousheh et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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