Spectral doubling of normal operators and connections with antiunitary operators

DOI10.1007/s00020-011-1910-3zbMath1267.47033OpenAlexW1986879507MaRDI QIDQ421099

Geoffrey R. Goodson

Publication date: 23 May 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1910-3

zbMATH Keywords

Hamiltonian operatornormal operatorantiunitary operatorcomplex symmetric operatorconjugation operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

Skew symmetry of a class of operators

Cites Work

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• Quasi-real normal matrices and eigenvalue pairings
• The structure of alternating-Hamiltonian matrices
• The homogeneous spectrum problem in ergodic theory
• Complex symmetric partial isometries
• Remarks on the structure of complex symmetric operators
• Some new classes of complex symmetric operators
• The Inverse-Similarity Problem for Real Orthogonal Matrices
• Complex symmetric operators and applications II
• On the multiplicity function of real normal operators
• On the Product of Two Alternating Matrices
• Conjugacies between ergodic transformations and their inverses
• Transformations conjugate to their inverses have even essential values
• Complex symmetric operators and applications
• Hamiltonian square roots of skew-Hamiltonian matrices revisited

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