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Linear preservers on upper triangular operator matrix algebras

  • Published:2001-10 Issue:1-3 Volume:336 Page:29-50
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Cui Jianlian,Hou Jinchuan,Li Bingren

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference18 articles.

1. Linear operators on matrices: the invariance of rank-k matrices;Beasley;Linear Algebra Appl.,1988

2. Mappings which preserve idempotents, local automorphisms, and local derivation;Bresar;Can. J. Math,1993

3. Linear preservers on triangular matrices;Chooi;Linear Algebra Appl.,1998

4. K.R. Davidson, Nest Algebra, Ritman Research Notes in Mathematics, vol. 191, Longman, London/New York, 1988

5. L. Ge, D. Hadwin, J. Hou, J. Li, Rank nonincreasing linear maps on operator spaces, preprint

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1. Triangular operator algebras and simultaneous triangularisation;Proceedings of the American Mathematical Society;2022-11-22

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3. Generalized Jordan derivations on triangular matrix algebras;Linear and Multilinear Algebra;2007-07

4. Rank one preserving R-linear maps on spaces of self-adjoint operators on complex Hilbert spaces;Linear Algebra and its Applications;2006-07

5. Jordan derivations and antiderivations on triangular matrices;Linear Algebra and its Applications;2005-03
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