Derivations into duals of closed ideals of Banach algebras

2006/10/04 by M. Eshaghi Gordji, Gordji, M. Eshaghi, B. Hayati +3
Mathematics · #46H25 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46H25

paper · pdf · doi:10.48550/arxiv.math/0610137

arxiv created 2006/10/05 · arxiv updated 2009/12/01

Abstract

Let \cal A be a Banach algebra. We study those closed ideals I of \cal A for which the first cohomology group of \cal A with coefficients in I^* is trivial; i.e. H¹(\cal A,I^*)=\0\. We investigate such closed ideals when \cal A is weakly amenable or biflat. Also we give some hereditary properties of ideal amenability.

Related

• Derivation into duals of ideals of Banach algebras
• Derivations into n-th duals of ideals of Banach algebras
• Ideal amenability of Banach algebras on locally compact groups
• The number of closed ideals in L(L_p)
• Relative amenability of Banach algebras