Abstract
A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometries for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed.
Original language | English |
---|---|
Pages (from-to) | 53-70 |
Number of pages | 18 |
Journal | Linear Algebra and Its Applications |
Volume | 399 |
Issue number | 1-3 |
DOIs | |
Publication status | Published - 1 Apr 2005 |
Externally published | Yes |
Event | International Meeting on Matrix Analysis and Applications - Ft. Lauderdale, Fl, United States Duration: 14 Dec 2003 → 16 Dec 2003 |
Keywords
- Isometry
- Singular values
- Unitarily invariant norm
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics