Completely rank-nonincreasing linear maps

DOI10.1016/S0022-1236(02)00091-5zbMath1026.46043OpenAlexW2083673272MaRDI QIDQ1874690

David R. Larson, Donald W. Hadwin

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00091-5

zbMATH Keywords

Completely boundedCompletely rank-nonincreasingJoint similarity orbitRank-nonincreasing

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) General theory of linear operators (47A99) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (16)

Unitary orbits of normal operators in von Neumann algebras ⋮ Asymptotic reflexivity ⋮ Rank-1 preserving linear maps on nest algebras. ⋮ Ranks of linear matrix pencils separate simultaneous similarity orbits ⋮ Maps completely preserving spectral functions ⋮ Unnamed Item ⋮ Maps completely preserving involutions and maps completely preserving Drazin inverse ⋮ Divisible operators in von Neumann algebras ⋮ Completely rank-nonincreasing multilinear maps ⋮ An introduction to matrix convex sets and free spectrahedra ⋮ 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 ⋮ Linear preservers on upper triangular operator matrix algebras ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product ⋮ Completely rank-nonincreasing linear maps on spaces of operators

Cites Work

• On closures of joint similarity orbits
• Ein operatorwertiger Hahn-Banach Satz
• Notes on extensions of \(C^*\)-algebras
• Completely rank-nonincreasing linear maps on spaces of operators
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• Most Similarity Orbits are Strongly Dense
• Nonseparable Approximate Equivalence
• Positive Functions on C ∗ -Algebras
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