Weak amenability for the second dual of Banach modules

• Autorzy: Fatemeh Anousheh , Davood Ebrahimi Bagha , Abasalt Bodaghi
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Banach modules; Module amenability; Weak module amenability

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-06-01

zaakceptowano

2015-08-28

online

2015-10-19

Twórcy

autor

Fatemeh Anousheh

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

autor

Davood Ebrahimi Bagha

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

autor

Abasalt Bodaghi

• Young Researchers and Elite Club, Islamshahr Branch, Islamic Azad University,
  Islamshahr, Iran

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Identyfikatory

DOI

10.1515/math-2015-0063