Spectrum of banach valued holomorphic functions and polar sets

DOI10.1080/03081087.2021.2003285zbMath1525.47012OpenAlexW3212428200MaRDI QIDQ6039169

Unnamed Author, Abdelkrim Nokrane

Publication date: 3 May 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2021.2003285

zbMATH Keywords

Banach algebraspectrumanalytic multivalued functionBanach-valued holomorphic functionpluripolar and polar sets

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of topological algebras (46H05)

Cites Work

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• Analyticity of a joint spectrum and a multivariable analytic Fredholm theorem
• Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables
• Analytic set-valued functions and spectra
• A primer on spectral theory
• On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on \(C^n\)
• Pseudoconcave pluripolar sets in \(\mathbb{C}^2\)
• Open Mapping, Inversion and Implicit Function Theorems for Analytic Multivalued Functions
• The representation of analytic multivalued functions by compact operators

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