Linear maps preserving the higher numerical ranges of tensor products of matrices

DOI10.1080/03081087.2013.790386zbMath1319.15005arXiv1302.1175OpenAlexW2152437824MaRDI QIDQ5495756

Yiu-Tung Poon, Ajda Fošner, Nung-Sing Sze, Chi-Kwong Li, Ze-Jun Huang

Publication date: 7 August 2014

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

Full work available at URL: https://arxiv.org/abs/1302.1175

zbMATH Keywords

linear preserverHermitian matrixKronecker productquantum information\(k\)-numerical rangetensor product of matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69) Linear preserver problems (15A86) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (8)

Higher dimensional numerical range of Lie products on self-adjoint operators ⋮ Linear rank preservers of tensor products of rank one matrices ⋮ Linear maps preserving rank of tensor products of matrices ⋮ Higher dimensional numerical range of \(\xi\)-Lie products on bound self-adjoint operators ⋮ Rank nonincreasing linear maps preserving the determinant of tensor product of matrices ⋮ A note on classical adjoint commuting linear maps of tensor products of matrices ⋮ A note on linear preservers of certain ranks of tensor products of matrices ⋮ Unnamed Item

Cites Work

• On operators preserving the numerical range
• Matrices with some extremal properties
• Nondifferentiable boundary points of the higher numerical range
• Isometries for Ky-Fan norms on block triangular matrix algebras
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Preserver Problems
• Characterizing operations preserving separability measures via linear preserver problems
• Linear operators preserving the higher numerical radius of matrices
• An Affine Representation for Transversal Geometries
• Invariants of linear maps on matrix algebras
• Isometries between matrix algebras
• Isometries for Ky Fan norms between matrix spaces

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