Coherence invariant mappings on block triangular matrix spaces

DOI10.1016/S0024-3795(01)00510-9zbMath0998.15018MaRDI QIDQ1603000

Ming-Huat Lim, Wai-Leong Chooi

Publication date: 24 June 2002

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

zbMATH Keywords

block triangular matricesrank one preserversbijective coherence invariant mappings

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items

Maps on matrix spaces, Adjacency preserving maps on upper triangular matrix algebras, Some linear preserver problems on block triangular matrix algebras, Additive preservers of non-zero decomposable tensors, Geometry of free cyclic submodules over ternions, Geometry of rectangular block triangular matrices, Geometry of block triangular matrices over a division ring, Adjacency preserving bijective maps on triangular matrices over any division ring, Graph homomorphisms on rectangular matrices over division rings II, Linear rank one preservers between spaces of matrices with zero trace

Cites Work

• Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
• Linear preservers on triangular matrices
• Additive rank-one preserving mappings on triangular matrix algebras
• Geometry of symmetric matrices over any field with characteristic other than two
• Rank-one nonincreasing mappings on triangular matrices and some related preserver problems
• Linear Preserver Problems
• Linear Operators Preserving Generalized Numerical Ranges and Radii on Certain Triangular Algebras of Matrices
• Rigid Embedding of Simple Groups in the General Linear Group
• Linear preservers of decomposable symmetric tensors
• Some linear preserver problems on upper triangular matrices
• Coherence Invariant Mappings on Kronecker Products
• Linear operators preserving the numerical range (radius) on triangular matrices
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