On spectral mapping theorems

DOI10.1016/0022-247X(83)90242-1zbMath0526.47006MaRDI QIDQ595180

Krzysztof Rudol

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

strictly pseudoconvex domainextended spectrumbounded analytic functionsspectral mapping theoremscluster value theoremfibers of the spectrumfunctional calculisubspectrum

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (1)

Elementary operators with \(H^{\infty}\)-symbols

Cites Work

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• Calcul symbolique des contractions
• Generators of the maximal ideals of \(A(\bar{D})\)
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Iversen's theorem and fiber algebras
• An axiomatic approach to joint spectra I
• Generators for A(Ω)
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• On joint spectra of commuting families of operators
• The Maximal Ideal Space of H^∞ + C on the ball in Cⁿ
• On joint spectra
• The extended spectrum of completely non-unitary contractions and the spectral mapping theorem

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