Similarity invariant real linear subspaces and similarity preserving additive maps.

DOI10.1016/j.laa.2003.08.003zbMath1046.47028OpenAlexW2093234089MaRDI QIDQ1418972

Shuanping Du, Jin-Chuan Hou

Publication date: 14 January 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.2003.08.003

zbMATH Keywords

Hilbert space operatorssimilarity invariant real linear subspacessimilarity preserving additive maps

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (9)

Nonlinear maps preserving similarity on \(\mathcal B(H)\) ⋮ Nonlinear maps preserving similarity on B(X) ⋮ Asymptotic similarity preserving additive maps on \(\mathcal B(X)\) ⋮ A note on equivalence preserving maps ⋮ Linear preservers of equivalence relations on infinite-dimensional spaces ⋮ A note on unitary similarity preserving linear mappings on \(B(H)\) ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Maps preserving equivalence by products of involutions ⋮ Additive maps preserving similarity or asymptotic similarity on

Cites Work

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• A note on similarity preserving linear maps on matrices
• Similarity preserving linear maps on matrices
• Linear preserver problems: A brief introduction and some special techniques
• Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\))
• Similarity-invariant subspaces and similarity-preserving linear maps.
• Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)
• Additive mappings preserving operators of rank one
• Lie and Jordan Ideals of Operators on Hilbert Space

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