Linear rank and corank preserving maps on \({\mathcal B}(H)\) and an application to \(^*\)-semigroup isomorphisms of operator ideals
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Publication:1808939
DOI10.1016/S0024-3795(98)10045-9zbMath0940.46012OpenAlexW2074719135MaRDI QIDQ1808939
Lajos Molnár, Peter Šemrl, Máté Győry
Publication date: 19 July 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(98)10045-9
Operator ideals (47L20) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)
Related Items (5)
LINEAR MAPS PRESERVING 𝓐𝓝-OPERATORS ⋮ Additive mappings on von Neumann algebras preserving absolute values ⋮ Generalized bicircular projections via the operator equation \(\alpha X^2AY^2+\beta XAY+A=0\) ⋮ On operators preserving James' orthogonality ⋮ Some linear preserver problems on \(B(H)\) concerning rank and corank
Cites Work
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- Rank-preserving linear maps on B(X)
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