Certain isometries of rectangular complex matrices

DOI10.1016/0024-3795(80)90237-2zbMath0432.15015OpenAlexW2020978334MaRDI QIDQ1138614

Robert D. Grone

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90237-2

zbMATH Keywords

extreme pointsrectangular matrixisometriesinvariant norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Some aspects of the theory of norms, Linear operators preserving the (p,q)-numerical range, Duality between some linear preserver problems. II: Isometries with respect to c-spectral norms and matrices with fixed singular values, Linear operators preserving certain functions on singular values of matrices, Chapter 4:algebraic sets, polynomials, and other functions, Chapter 5: linear preservers on functions of Singular values, Some isometries of rectangular complex matrices, On the extremal structure of least upper bound norms and their dual, Linear operators preserving unitarily invariant norms of matrices, Isometries for unitarily invariant norms, Faces of the unit ball of a unitarily invariant norm

Cites Work

• All linear operators leaving the unitary group invariant
• Transformations on tensor product spaces
• The isometries of \(C_p\)
• Isometries of matrix algebras
• Trace preserving mappings of matrix algebras
• Shorter Notes: Isometries of the Trace Class
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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