Linear maps determining the norm topology

DOI10.1090/S0002-9947-00-02696-9zbMath0966.46007OpenAlexW1551338076MaRDI QIDQ4517460

Krzysztof Jarosz

Publication date: 22 November 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02696-9

zbMATH Keywords

automatic continuitymaximal ideal spaceBanach function algebraoperator of multiplicationseparating subspacedivisor of zerouniqueness of complete norm

Mathematics Subject Classification ID

Automatic continuity (46H40) Banach algebras of continuous functions, function algebras (46J10) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

On similarity of quasinilpotent operators ⋮ Riesz operators and the complete norm topology ⋮ Uniqueness of translation invariant norms ⋮ Continuity of operators intertwining with convolution operators

Cites Work

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• Normed algebras
• Automatic Continuity of Separating Linear Isomorphisms
• A Discontinuous Homomorphism from C(X)
• Discontinuous Translation Invariant Functionals
• Automatic continuity, local type and causality
• All separable Banach space admit for every ε>0 fundamental total and bounded by 1 + ε biorthogonal sequences
• Uniqueness of the Norm Topology for Banach Algebras with Finite-Dimensional Radical
• Operators determining the complete norm topology of C(K)
• The uniqueness of the (complete) norm topology

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