Linear maps preserving parallel matrix pairs with respect to the Ky-Fan \(k\)-norm

DOI10.1016/j.laa.2024.01.018arXiv2309.14357OpenAlexW4391427693MaRDI QIDQ6118777

Chi-Kwong Li, Sushil Singla, Edward Poon, Bojan Kuzma

Publication date: 28 February 2024

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

Full work available at URL: https://arxiv.org/abs/2309.14357

zbMATH Keywords

matrixbijective linear mapsparallel pairsKy-Fan \(k\)-norms

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive linear operators and order-bounded operators (47B65) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Cites Work

• Transformations on tensor product spaces
• Matrices with some extremal properties
• Isometries of matrix algebras
• On the cone of positive semidefinite matrices
• Transformations on tensor spaces
• Trace preserving mappings of matrix algebras
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear transformations on that preserve the Ky Fank-norm and a remarkable special case when (nk) = (4, 2)
• Singular Values, Diagonal Elements, and Convexity
• Analytical characterization of displacements in general Poincaré space

This page was built for publication: Linear maps preserving parallel matrix pairs with respect to the Ky-Fan \(k\)-norm