Linear operators that preserve pairs of matrices which satisfy extreme rank properties -- a supplementary version.

DOI10.1016/S0024-3795(03)00658-XzbMath1048.15005MaRDI QIDQ1414716

Xian Zhang

Publication date: 4 December 2003

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

zbMATH Keywords

linear operatorlinear preserversrank preserversfieldrank-sum-maximal matrix pairrank-sum-minimal matrix pair

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (12)

Linear/additive preservers of ranks 2 and 4 on alternate matrix spaces over fields ⋮ Maps on spaces of symmetric matrices preserving idempotence ⋮ Additive rank-one preservers between spaces of rectangular matrices ⋮ Monotone Linear Transformations on Matrices Are Invertible ⋮ Additive rank-1 preservers between spaces of Hermitian matrices ⋮ Linear/additive preservers of rank 2 on spaces of alternate matrices over fields ⋮ Additive preservers of rank-additivity on matrix spaces ⋮ Linear preservers between matrix modules over connected commutative rings ⋮ Additive rank-one preservers on block triangular matrix spaces ⋮ Linear preservers of rank-sum-maximum, rank, rank-subtractivity, and rank-sum-minimum on symmetric matrices ⋮ Additive adjoint preservers between matrix spaces ⋮ Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications

Cites Work

• Unnamed Item
• Linear operators that preserve pairs of matrices which satisfy extreme rank properties
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Preserver Problems
• Linear preservers for matrix inequalities and partial orderings

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