Completely rank-nonincreasing linear maps on spaces of operators

DOI10.1016/j.laa.2004.01.002zbMath1069.47039OpenAlexW2129950598MaRDI QIDQ1826848

Hassan Yousefi, Donald W. Hadwin, Jin-Chuan Hou

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.002

zbMATH Keywords

joint similarity orbitcompletely rank-nonincreasingrank-nonincreasingskew compression

Mathematics Subject Classification ID

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

Related Items (10)

Completely rank-nonincreasing linear maps ⋮ Asymptotic reflexivity ⋮ Ranks of linear matrix pencils separate simultaneous similarity orbits ⋮ Maps completely preserving spectral functions ⋮ Unnamed Item ⋮ Completely rank-nonincreasing multilinear maps ⋮ Maps completely preserving idempotents and maps completely preserving square-zero operators ⋮ Characterizing isomorphisms in terms of completely preserving invertibility or spectrum ⋮ A note on reflexivity ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product

Cites Work

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• On closures of joint similarity orbits
• Spectrum-preserving linear maps
• Multiplicative maps on \({\mathcal B}(X)\)
• Linear interpolation and the elementary operators on \({\mathcal B}({\mathcal H})\)
• Completely rank-nonincreasing linear maps
• A Survey of Completely Bounded Operators
• Nonseparable Approximate Equivalence
• Rank-preserving linear maps on B(X)

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