Joint spectra of commuting normal operators on Banach spaces

DOI10.1017/S0017089500007436zbMath0689.47001OpenAlexW2136700459MaRDI QIDQ3031486

Muneo Chō

Publication date: 1988

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500007436

zbMATH Keywords

extreme pointapproximate point spectrumTaylor joint spectrumFuglede theoremjoint eigenvaluespatial joint numerical rangestrong commuting n-tuple

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10)

Related Items (3)

Joint k-numerical ranges of operators ⋮ Joint ranges of Hermitian matrices and simultaneous diagonalization ⋮ \(n\)-tuples of operators satisfying \(\sigma_T(AB)=\sigma_T(BA)\).

Cites Work

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• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Complex strict and uniform convexity and hyponormal operators
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• Spectral Inclusion for Doubly Commuting Subnormal n-Tuples
• On proper boundary points of the spectrum and complemented eigenspaces.
• Tensor Products and the Joint Spectrum in Hilbert Spaces
• The spectral mapping theorem for joint approximate point spectrum
• The spectral mapping theorem in several variables

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