A nonlinear preserver problem on positive matrices

DOI10.1016/j.laa.2023.02.022OpenAlexW4323351154MaRDI QIDQ2696304

Mateo Tomašević

Publication date: 11 April 2023

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

Full work available at URL: https://arxiv.org/abs/2204.11622

zbMATH Keywords

Hermitian matricespositive matricesorder preserverspectrum preserverKaplansky problem

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Unnamed Item
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• An extension of the Gleason-Kahane-Żelazko theorem: A possible approach to Kaplansky's problem
• Propriétés spectrales des algèbres de Banach
• A characterization of maximal ideals
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• A Course in Commutative Banach Algebras
• Matrix Analysis
• Order and Spectrum Preserving Maps on Positive Operators
• Automorphisms of Hilbert space effect algebras
• A characterization of maximal ideals in commutative Banach algebras
• An elementary proof for the non-bijective version of Wigner's theorem

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