Isometries for unitarily invariant norms
Copyright policy )Isometries for unitarily invariant norms
After a brief survey of results and proof techniques in the study of isometries for unitarily invariant norms on real and complex rectangular matrices, the paper presents a characterization of a class of linear isometries without the linearity assumption. Some related results and problems like the invariant norms on other matrix and operator algebras and spaces, and isometry problems without the surjectivity assumption are finally discussed.
- University of Hong Kong China (People's Republic of)
- University of Hong Kong (香港大學) China (People's Republic of)
- William & Mary United States
Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, singular values, complex rectangular matrices, Linear transformations, semilinear transformations, Isometry, Unitarily invariant norm, unitarily invariant norms, isometry, Singular values, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Geometry and Topology
Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, singular values, complex rectangular matrices, Linear transformations, semilinear transformations, Isometry, Unitarily invariant norm, unitarily invariant norms, isometry, Singular values, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, Geometry and Topology
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