Joint spectra and restricted Gelfand transform

DOI10.1007/s40590-021-00324-4OpenAlexW3129222680MaRDI QIDQ2024052

Luis Roberto Hernández Chávez, Antoni Wawrzyńczyk

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00324-4

zbMATH Keywords

joint spectrumGelfand transformspectral mapping formulaWaelbroeck algebra

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Functional calculus in topological algebras (46H30)

Cites Work

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• Joint spectra in Waelbroeck algebras
• Existence of a multiplicative functional and joint spectra
• Spectrum of generators of a noncommutative Banach algebra
• Subsets of nonempty joint spectrum in topological algebras
• Spectral theory of linear operators and spectral systems in Banach algebras

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