In the present paper, we introduce a new notion of weak moduleamenability for Banach algebras which is related to module homomorphisms. Among other results, we investigate the relationship betweenthis concept for a Banach algebraA which is a Banach A-bimodule withcompatible actions, and the quotient Banach algebraA/J where J isthe closed ideal ofA generated by elements of the form (a·α)b−a(α·b)for a ∈A and α ∈ A. We then study this concept for an inversesemigroup S, where some examples on(S) and C∗ (S) are given.
Banach modules; Module derivation; Weak amenability; Weak moduleamenability; Inverse semigroup.
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Birincil Dil | Türkçe |
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Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Ocak 2014 |
Yayımlandığı Sayı | Yıl 2014 Cilt: 43 Sayı: 1 |