Linear mappings preserving the diameter of the numerical range

DOI10.1016/j.laa.2017.05.018zbMath1422.47041OpenAlexW2616773791MaRDI QIDQ2013187

Kong Chan, Jor-Ting Chan

Publication date: 3 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.05.018

zbMATH Keywords

numerical rangediameterpreserver

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items (1)

Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\)

Cites Work

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• Pure state transformations induced by linear operators
• Diameter preserving linear bijections of \(C(X)\)
• Linear maps on the space of all bounded observables preserving maximal deviation.
• Diameter preserving linear maps and isometries. II
• Diameter preserving linear maps and isometries
• Diameter and minimal width of the numerical range
• Linear operators that preserve thec-numerical range or radius of matrices
• Duality between some linear preservers problems: the invariance of thec-numerical range, thec-numerical radius and certain matrix sets
• Diameter-preserving maps on various classes of function spaces

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