Conjugations of unitary operators. I

DOI10.1007/S13324-024-00924-ZzbMATH Open1546.47031MaRDI QIDQ6545469

Marek Ptak, Javad Mashreghi, William Ross

Publication date: 29 May 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

invariant subspacesunitary operatorsconjugations

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• Conjugations in \(L^2(\mathcal{H})\)
• Invariant subspaces of unitary operators
• Conjugations on \(L^2(\mathbb{T}^N)\) and invariant subspaces
• Conjugations preserving Toeplitz kernels
• Conjugations in \(L^2\) and their invariants
• Conjugations on Banach \(*\)-algebras
• Complex symmetric partial isometries
• Shift-type properties of commuting, completely non doubly commuting pairs of isometries
• On the hyperinvariant subspaces for isometrics
• On a topology for invariant subspaces
• Introduction to model spaces and their operators
• Unitary equivalence of a matrix to its transpose
• Mathematical and physical aspects of complex symmetric operators
• Some new classes of complex symmetric operators
• Shifts on Hilbert spaces.
• Complex symmetric operators and applications II
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• $C$--normal operators
• Complex symmetric operators and applications
• The square roots of some classical operators

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