Higher point derivations on commutative Banach algebras. I

DOI10.1016/0022-1236(77)90009-XzbMath0364.46040MaRDI QIDQ1240884

J. P. McClure, H. Garth Dales

Publication date: 1977

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

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (4)

Point derivations and ideals in Banach algebras of differentiable functions ⋮ The structure of module derivations of Banach algebras of differentiable functions ⋮ Abstract swiss cheese space and classicalisation of swiss cheeses ⋮ Higher point derivations on commutative Banach algebras, III

Cites Work

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• The continuity of derivations of Banach algebras
• Power series in one variable
• The Wedderburn Decomposition of Commutative Banach Algebras
• Commutative Banach algebras with non-unique complete norm topology
• Systems of Derivations
• Higher derivations and automorphisms of complete local rings
• Continuity of Homomorphisms into Certain Commutative Banach Algebras
• Continuity of Higher Derivations
• Cohomology of Sheaves of Holomorphic Functions Satisfying Boundary Conditions on Product Domains
• The Uniqueness of the Functional Calculus
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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