A generalization of the unitary groups

DOI10.1016/0024-3795(70)90016-9zbMath0205.04804OpenAlexW1988701957MaRDI QIDQ2542099

W. R. Gordon, Marvin Marcus

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0024-3795(70)90016-9

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear transformations, semilinear transformations (15A04) Orthogonal and unitary groups in metric geometry (51F25)

Related Items

A biography of Marvin Marcus, Linear operators preserving the inner and outerc-spectral radii, Linear operators preserving the (p,q)-numerical range, 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, Isometries of matrix algebras, Some results on unitary matrix groups

Cites Work

• Transformations on tensor product spaces
• The invariance of symmetric functions of singular values
• Trace preserving mappings of matrix algebras
• Linear Operations on Matrices
• Unnamed Item