Nilpotent ideals in a class of Banach algebras

DOI10.1090/S0002-9939-99-04896-0zbMath0931.46035MaRDI QIDQ4257655

Yong Zhang

Publication date: 31 August 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nilpotent idealsamenable Banach algebrasapproximately biprojectivecanonical projectioncontractible Banach algebrasnilpotent ideal with approximately complemented closure

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Spaces of linear operators; topological tensor products; approximation properties (46A32) Structure, classification of topological algebras (46H20) Ideals and subalgebras (46H10)

Related Items (23)

Generalized notions of amenability for some classes of \(\ell^p\)-Munn algebras ⋮ Approximate identities for ideals of Segal algebras on a compact group ⋮ Nilpotent ideals in generalized amenable Banach algebras ⋮ Approximate biprojectivity of certain semigroup algebras ⋮ On strong pseudo-amenability of some Banach algebras ⋮ Biprojectivity of generalized module extension and second dual of Banach algebras ⋮ Approximate biprojectivity and biflatness of some algebras over certain semigroups ⋮ Homological properties of some types of generalized matrix Banach algebras ⋮ Approximate semi-amenability of Banach algebras ⋮ Generalized biprojectivity and biflatness of abstract Segal algebras ⋮ Generalized notions of amenability. ⋮ Approximate biflatness and approximate biprojectivity of some Banach algebras ⋮ \textit{WAP}-biprojectivity of the enveloping dual Banach algebras ⋮ APPROXIMATELY BIPROJECTIVE BANACH ALGEBRAS AND NILPOTENT IDEALS ⋮ Operator approximate biprojectivity of locally compact quantum groups ⋮ BIPROJECTIVITY AND BIFLATNESS OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM ⋮ Approximate characterizations of projectivity and injectivity for Banach modules ⋮ Module approximate biprojectivity and module approximate biflatness of Banach algebras ⋮ Generalized notions of amenability for a class of matrix algebras ⋮ Approximate Connes-biprojectivity of dual Banach algebras ⋮ A note on approximate biprojectivity of some semigroup algebras ⋮ Some homological and cohomological notions on \(T\)-Lau product of Banach algebras ⋮ Weak amenability of module extensions of Banach algebras

This page was built for publication: Nilpotent ideals in a class of Banach algebras