Equivalent characterization of centralizers on \(\mathcal B(H)\)
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Publication:335117
DOI10.1007/s10114-016-5610-4zbMath1356.47046OpenAlexW2508438909MaRDI QIDQ335117
Wen Si Xu, Jin-Chuan Hou, Run Ling An
Publication date: 2 November 2016
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-016-5610-4
Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear operators in (C^*)- or von Neumann algebras (47C15)
Related Items (7)
Lie maps on triangular algebras without assuming unity ⋮ Characterizing linear maps of standard operator algebras through orthogonality ⋮ Generalized derivable mappings and centralizable mappings on B(X) ⋮ Unnamed Item ⋮ Characterizations of centralizable mappings on algebras of locally measurable operators ⋮ Ternary derivations of nest algebras ⋮ Linear maps on standard operator algebras characterized by action on zero products
Cites Work
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- Annihilator-preserving maps, multipliers, and derivations
- Linear maps characterized by the action on square-zero elements
- Sums of small numbers of idempotents
- On centralizers of semiprime rings with involution
- Characterizing homomorphisms, derivations and multipliers in rings with idempotents
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