Similarity-invariant subspaces and similarity-preserving linear maps.
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Publication:1862907
DOI10.1007/s10114-002-0179-5zbMath1043.47048OpenAlexW2008727021MaRDI QIDQ1862907
Publication date: 2002
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-002-0179-5
Linear operators on Banach algebras (47B48) Linear spaces of operators (47L05) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)
Related Items (18)
Similarity preserving linear maps on upper triangular matrix algebras ⋮ Certain structure of Similarity-preserving linear maps ⋮ Linear maps preserving products of positive or Hermitian matrices ⋮ Nonlinear maps preserving similarity on \(\mathcal B(H)\) ⋮ Linear maps preserving equivalence or asymptotic equivalence on Banach space ⋮ Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\)) ⋮ Nonlinear maps preserving similarity on B(X) ⋮ Additive maps preserving similarity of operators on Banach spaces ⋮ Similarity invariant real linear subspaces and similarity preserving additive maps. ⋮ 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 equivalence by products of involutions ⋮ Additive maps preserving similarity or asymptotic similarity on ⋮ Linear maps preserving zero products on nest subalgebras of von Neumann algebras ⋮ Unitary similarity preserving linear maps on \(B(H)\) ⋮ Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)
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