Left introverted subspaces of duals of Banach algebras and WEAK^*-continuous derivations on dual Banach algebras

2006/10/05 by M‎. ‎Eshaghi Gordji, M. Eshaghi Gordji, Gordji, M. Eshaghi
Mathematics · #46H25 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46H25

paper · pdf · doi:10.48550/arxiv.math/0610199

10 pages

openalex publication_date 2006/10/05 · arxiv created 2006/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a left introverted subspace of dual of a Banach algebra. We study Z_t(X^*), the topological center of Banach algebra X^*. We fined the topological center of (X\cA)^*, when \cA has a bounded right approximate identity and \cA⊆ X^*. So we introduce a new notation of amenability for a dual Banach algebra \cal A. A dual Banach algebra \cal A is weakly Connes-amenable if the first weak^*-continuous cohomology group of \cal A with coefficients in \cal A is zero; i.e., H¹_w^*(\cal A, \cal A)=\o\. We study the weak Connes-amenability of some dual Banach algebras.

Related

• Module extensions of dual Banach algebras
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