Commutativity preserving transformations on conjugacy classes of compact self-adjoint operators

DOI10.1016/j.laa.2022.05.015OpenAlexW3094720475WikidataQ114151501 ScholiaQ114151501MaRDI QIDQ2151581

M. A. Pankov

Publication date: 5 July 2022

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

Full work available at URL: https://arxiv.org/abs/2010.13916

zbMATH Keywords

non-linear preservercommutativity preserving transformationscompact self-adjoint operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

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• Orthogonal apartments in Hilbert Grassmannians
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Isometries of Grassmann spaces
• Commutativity preserving maps
• Buildings of spherical type and finite BN-pairs
• Orthogonality preserving transformations on the set of \(n\)-dimensional subspaces of a Hilbert space
• Linear maps preserving commutativity
• Commutativity preserving transformations on conjugacy classes of finite rank self-adjoint operators
• Nonlinear commutativity preserving maps on self-adjoint operators
• Book Review: Wigner-type theorems for Hilbert Grassmannians
• Wigner-Type Theorems for Hilbert Grassmannians
• Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles

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