Unicity and invariance of global holomorphic functional calculus by homomorphisms of Banach algebras

DOI10.1007/BF02904222zbMath1001.46032MaRDI QIDQ1567577

N. Delaunay

Publication date: 11 December 2002

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

commutative Banach algebralocally convex algebrasGelfand transformGelfand spectrumcommutative complete locally \(m\)-convex algebrascompatibility with continuous algebra morphismsglobal holomorphic functional calculus

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Functional calculus for linear operators (47A60) Functional calculus in topological algebras (46H30)

Related Items

Positivity and Schwarz inequality for Banach \(*\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Dense inverse limit rings
• The analytic-functional calculus in commutative topological algebras
• Infinite dimensional holomorphic functional calculus in \(lmca\)
• Dense maximal ideals in Fréchet algebras
• Le calcul symbolique dans les algèbres commutatives
• Analytic functions of several Banach algebra elements
• Unicity of a Holomorphic Functional Calculus in Infinite Dimensions
• On the decomposition of a commutative normed ring into a direct sum of ideals
• Homomorphisms of Commutative Banach Algebras
• On envelops of holomorphy
• Existence, Uniqueness and Continuity of Functional Calculus Homomorphisms
• A Remark in Automatic Continuity Theory
• Automatic Continuity: a Survey
• A Form of Local Characterization of Gelfand Transforms
• Uniqueness of Topology for Commutative Semisimple F-Algebras
• Homotopy in Fréchet Algebras
• A Condition Equivalent to the Continuity of Characters on a Fréchet Algebra
• Pseudo-Banach algebras
• Embedding the Algebra of Formal Power Series in a Banach Algebra
• Homomorphisms of Rings of Germs of Analytic Functions
• The Uniqueness of the Functional Calculus
• Linear topological division algebras
• Locally multiplicatively-convex topological algebras

This page was built for publication: Unicity and invariance of global holomorphic functional calculus by homomorphisms of Banach algebras