The global dimension theorem for weighted convolution algebras

DOI10.1017/S0013091500019738zbMath0912.46052OpenAlexW2159495572MaRDI QIDQ4400093

Yurií V. Selivanov, Fereidoun Ghahramani

Publication date: 2 August 1998

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

Full work available at URL: https://doi.org/10.1017/s0013091500019738

zbMATH Keywords

commutative Banach algebraglobal dimensionradicalweighted convolution algebraBanach \(A\)-bimodule

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological dimension (category-theoretic aspects) (18G20)

Related Items (1)

Global homological dimension of radical Banach algebras of power series

Cites Work

• Unnamed Item
• Norms and ideals in radical convolution algebras
• Multipliers of commutative Banach algebras
• A counterexample to the approximation problem in Banach spaces
• Multipliers of radical Banach algebras of power series
• Nonstandard Ideals in Radical Convolution Algebras on a Half-Line
• Extensions of the Titchmarsh Convolution Theorem with Applications in the Theory of Invariant Subspaces
• Approximate identities in extensions of topologically nilpotent Banach algebras
• Computing and estimating the global dimension in certain classes af Banach algebras.
• Weighted Convolution Algebras without Bounded Approximate Identities.
• Produits tensoriels topologiques et espaces nucléaires

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