Maps on self-adjoint operators preserving some relations related to commutativity

DOI10.1515/MS-2024-0111MaRDI QIDQ6660476

Mahdi Karder, Tatjana Petek

Publication date: 10 January 2025

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

commutativitypreserversquasi-commutativity

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of linear operators (47A99)

Cites Work

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• Transformations on bounded observables preserving measure of compatibility
• Maps on classes of Hilbert space operators preserving measure of commutativity
• General preservers of quasi-commutativity on self-adjoint operators
• Commutativity preserving maps on quantum states
• Sums of small numbers of idempotents
• Nonlinear commutativity preserving maps on self-adjoint operators
• General preservers of quasi-commutativity on Hermitian matrices
• Commutativity up to a factor of bounded operators in complex Hilbert space
• Maps on Matrix Algebras Preserving Commutativity

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