Analytic multivalued functions in Banach algebras and uniform algebras

DOI10.1016/0001-8708(82)90064-0zbMath0486.46041OpenAlexW2043864521MaRDI QIDQ1164830

Bernard Aupetit

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(82)90064-0

zbMATH Keywords

diameteruniform algebrascluster setssubharmonicityfiber functionanalytic multivalued functionscapacity perturbation by inessential elementsproblems of analytic structureproperties of the spectrum in Banach algebrasscarcity of operators with countable spectrum

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of continuous functions, function algebras (46J10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of topological algebras (46H05) Functional calculus in topological algebras (46H30) Structure, classification of topological algebras (46H20) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

The representation of analytic multivalued functions by compact operators, A generalization of Vesentini and Wermer's theorems, On Symmetry of Banach Jordan Algebras, Oka-analyticity of the essential spectrum, Cluster sets of set-valued functions, Analytic set-valued functions and spectra, The uniqueness of the complete norm topology in Banach algebras and Banach Jordan algebras, New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations, Propriétés analytiques du spectre dans les algèbres de Jordan-Banach, Points of symmetry of convex sets in the two-dimensional complex space -- a counterexample to D. Yost's problem, Polynomial Hulls with Convex Sections and Interpolating Spaces, An Analytic Set-Valued Selection and Its Applications to the Corona Theorem, to Polynomial Hulls and Joint Spectra, Joint Spectra and Analytic Set-Valued Functions, Two New Open Mapping Theorems for Analytic Multivalued Functions, Analytic Perturbation of the Taylor Spectrum, On characterization of Hilbert transform of Riemannian surface with boundary, Caratheodory distances and Banach algebras, Plurisubharmonic Functions Associated with Uniform Algebras

Cites Work

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