Joint spectra and commutativity of systems of (2 × 2) selfadjoint matrices

DOI10.1080/03081089308818274zbMath0794.15007OpenAlexW2085386238MaRDI QIDQ4274551

Werner J. Ricker, Günther Greiner

Publication date: 31 August 1994

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

Full work available at URL: https://doi.org/10.1080/03081089308818274

zbMATH Keywords

Hermitian matricesHilbert spaceselfadjoint operatorsbounded linear operatorsjoint spectrumcommutativitynoncommutative operators

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10)

Related Items (4)

FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY ⋮ The Weyl calculus, joint spectra and commutativity of compact selfadjoint operators ⋮ Differential properties of the numerical range map of pairs of matrices ⋮ The Weyl calculus and a Cayley-Hamilton theorem for pairs of selfadjoint matrices

Cites Work

• Unnamed Item
• Systems of operator equations and perturbation of spectral subspaces of commuting operators
• The Weyl functional calculus
• A joint spectrum for several commuting operators

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