An Analytic Set-Valued Selection and Its Applications to the Corona Theorem, to Polynomial Hulls and Joint Spectra

DOI10.2307/2000137zbMath0594.32008OpenAlexW4249461427MaRDI QIDQ3724686

Zbigniew Slodkowski

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000137

zbMATH Keywords

domain of holomorphyjoint spectraCorona theorempolynomial hullsanalytic set-valued selectionapproximation of analytic multifunctions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Domains of holomorphy (32D05) Other generalizations of function theory of one complex variable (32A30) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

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