Norms and ideals in radical convolution algebras

DOI10.1016/0022-1236(81)90062-8zbMath0463.46046OpenAlexW2068884404MaRDI QIDQ1153525

W. G. Bade, H. Garth Dales

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90062-8

zbMATH Keywords

Volterra algebraradical convolution algebrassubmultiplicative positive weight function

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Ideals, maximal ideals, boundaries (46J20)

Related Items

Weighted Group Algebra as an Ideal in Its Second Dual Space ⋮ Compact multipliers on weighted hypergroup algebras ⋮ Local properties of powers of operators ⋮ Algebraic spectral subspaces and automatic continuity ⋮ Isomorphisms and multipliers on second dual algebras of Banach algebras ⋮ Factorization and bounded approximate identities for a class of convolution Banach algebras ⋮ Compact multipliers on weighted hypergroup algebras. II ⋮ Lower bounds for commutative radical Banach algebras ⋮ Maximal abelian subalgebras of Banach algebras ⋮ Cyclic elements under translation in weighted \(L^ 1\) spaces on R+ ⋮ Weighted convolution algebras on the half line ⋮ Amenable and weakly amenable Banach algebras with compact multiplication ⋮ The global dimension theorem for weighted convolution algebras ⋮ Compactness and weak-star continuity of derivations on weighted convolution algebras ⋮ Standard homomorphisms and regulated weights on weighted convolution algebras

Cites Work

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• Rates of decrease of sequences of powers in commutative radical Banach algebras
• Homomorphisms and Derivations on Weighted Convolution Algebras
• Power factorization in Banach algebras with a bounded approximate identity
• Homomorphismes discontinus des algèbres de Banach commutatives séparables
• Automatic Continuity: a Survey
• Embedding the Algebra of Formal Power Series in a Banach Algebra

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