Prime ideals and automatic continuity in algebras of differentiable functions

DOI10.1016/0022-1236(80)90054-3zbMath0437.46042OpenAlexW1991578706MaRDI QIDQ1141323

K.B.Laursen

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90054-3

zbMATH Keywords

primesepimorphismscommutative Banach algebrasautomatic continuityprime idealssurjective homomorphism

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)

Related Items (3)

Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity ⋮ Rings and sheaves ⋮ Discontinuous maps from Lipschitz algebras

Cites Work

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• Theorems of Gelfand-Mazur type and continuity of epimorphisms from \(\mathcal C (K)\)
• The continuity of derivations of Banach algebras
• Prime ideals and automatic continuity problems for Banach algebras
• Divisible subspaces and problems of automatic continuity
• Homomorphisms from C₀ (R)
• Discontinuous homomorphisms from 𝐶(𝑋)
• Automatic continuity in algebras of differentiable functions.
• Continuity of Linear Operators Commuting with Continuous Linear Operators. II

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