Linear operators that preserve pairs of matrices which satisfy extreme rank properties

DOI10.1016/S0024-3795(02)00293-8zbMath1004.15025WikidataQ127840275 ScholiaQ127840275MaRDI QIDQ1611887

Seok-Zun Song, Sang-Gu Lee, Leroy B. Beasley

Publication date: 28 August 2002

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

zbMATH Keywords

linear preserverlinear operatorrank inequalities\((U,V)\)-operator

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (11)

Linear preservers of extremes of rank inequalities over semirings: Row and column ranks ⋮ Linear operators that preserve pairs of matrices which satisfy extreme rank properties -- a supplementary version. ⋮ Additive preservers of rank-additivity on the spaces of symmetric and alternate matrices. ⋮ Monotone Linear Transformations on Matrices Are Invertible ⋮ Linear preservers of extremes of rank inequalities over semirings: the factor rank ⋮ Linear preservers for Sylvester and Frobenius bounds on matrix rank ⋮ Additive preservers of rank-additivity on matrix spaces ⋮ 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 ⋮ Extreme preservers of maximal column rank inequalities of matrix sums over semirings ⋮ Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications

Cites Work

• Unnamed Item
• Linear maps that preserve commuting pairs of matrices
• Linear transformations on matrices: The invariance of commuting pairs of matrices
• Linear preservers for matrix inequalities and partial orderings

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