A generalization of Vesentini and Wermer's theorems

zbMath0629.47012MaRDI QIDQ1093870

Zbigniew Slodkowski

Publication date: 1986

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1986__75__157_0

zbMATH Keywords

invertible operatorsinvariant subspacesubharmonic functionset-valued functionanalytic operator-valued functionsanalytic family of bounded operators with locally uniformly bounded normpreanalytic familyquasi-subharmonicsubanalytic family of complex Banach spacestopological embeddings

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (6)

Spectrum of interpolated operators ⋮ Operators with closed ranges in spaces of analytic vector-valued functions ⋮ Spectral theory and complex interpolation ⋮ Polynomial Hulls with Convex Sections and Interpolating Spaces ⋮ The spectra of closed interpolated operators ⋮ Analytic Perturbation of the Taylor Spectrum

Cites Work

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• Operators with closed ranges in spaces of analytic vector-valued functions
• Analytic set-valued functions and spectra
• Analytic multivalued functions in Banach algebras and uniform algebras
• A theory of complex interpolation for families of Banach spaces
• Subharmonicity and hulls
• Capacity and uniform algebras
• On Subharmonicity of the Capacity of the Spectrum
• BANACH Coherent Analytic FRÉCHET Sheaves

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