A note on unitary similarity preserving linear mappings on \(B(H)\)

DOI10.1016/j.laa.2004.07.003zbMath1071.47040OpenAlexW2026354938MaRDI QIDQ1765896

Tatjana Petek

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.07.003

zbMATH Keywords

Hilbert spaceunitary similarity-preserving mappings

Mathematics Subject Classification ID

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

Related Items

Linear preservers of equivalence relations on infinite-dimensional spaces, Similarity Jordan multiplicative maps, Unitary similarity preserving linear maps on \(B(H)\)

Cites Work

• 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 real linear subspaces and similarity preserving additive maps.
• Asymptotic similarity preserving additive maps on \(\mathcal B(X)\)
• Some general techniques on linear preserver problems
• Similarity-invariant subspaces and similarity-preserving linear maps.
• Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)
• Sums of small numbers of idempotents
• Linear mappings preserving similarity on B(H)
• Linear Operators Preserving Certain Equivalence Relations on Matrices