Additive mappings decreasing rank one
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Publication:1601628
DOI10.1016/S0024-3795(01)00577-8zbMath1037.47024MaRDI QIDQ1601628
Publication date: 27 June 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Spaces of operators; tensor products; approximation properties (46B28) Vector spaces, linear dependence, rank, lineability (15A03) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (23)
A note on additive mappings decreasing rank one ⋮ Additive rank-one preservers between spaces of rectangular matrices ⋮ Permanent Polya problem for additive surjective maps ⋮ Preservers of unitary group or equivalence by unitaries ⋮ Linear maps preserving equivalence or asymptotic equivalence on Banach space ⋮ Linear preservers of equivalence relations on infinite-dimensional spaces ⋮ Ring isomorphisms and linear or additive maps preserving zero products on nest algebras ⋮ Additive maps preserving nilpotent perturbation of scalars ⋮ Additive preservers of non-zero decomposable tensors ⋮ Additive decomposability preservers and related results on tensor products of matrices ⋮ Monotone additive matrix transformations ⋮ Maps preserving 2-idempotency of certain products of operators ⋮ Linear/additive preservers of rank 2 on spaces of alternate matrices over fields ⋮ Rank-one non-increasing additive maps between block triangular matrix algebras ⋮ Additive preservers of rank-additivity on matrix spaces ⋮ Additive rank-one preservers on block triangular matrix spaces ⋮ Local automorphisms of standard operator algebras ⋮ Additive mappings preserving rank-one idempotents ⋮ Maps preserving equivalence by products of involutions ⋮ On 2-local *-automorphisms and 2-local isometries of \(\mathscr{B}(H)\) ⋮ Additive maps on matrix algebras preserving invertibility ⋮ Jordan zero-product preserving additive maps on operator algebras ⋮ Maps preserving Drazin invertible operator matrices with non-singular Schur complement
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