Nonlinear preserver problems on \(\mathcal{B}(H)\)

DOI10.1007/s10114-011-9106-yzbMath1235.47036OpenAlexW2130386679MaRDI QIDQ546286

Jian Lian Cui

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9106-y

zbMATH Keywords

nest algebrasstar orderpreserver problemsfundamental operator algebras

Mathematics Subject Classification ID

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

Cites Work

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• Relative Hermitian matrices
• Linear maps preserving idempotence on nest algebras
• Additive idempotence preservers
• Maps on quantum observables preserving the Gudder order
• Sums of small numbers of idempotents
• Spectral order automorphisms of the spaces of Hilbert space effects and observables
• Order-automorphisms of the set of bounded observables
• Pseudo-Inverses in Associative Rings and Semigroups
• Linear mappings preserving square-zero matrices
• Local multiplications on algebras spanned by idempotents
• Linear maps on von Neumann algebras preserving zero products on tr-rank
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice

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