Timeline for On matrix norms
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 9, 2013 at 22:31 | comment | added | Peter Michor | @ Felix Goldberg: MR0519680 (81a:47002) Reviewed Pietsch, Albrecht Operator ideals. Mathematische Monographien [Mathematical Monographs], 16. VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. 451 pp. Newer: MR1863699 (2003h:47137) | |
| Feb 9, 2013 at 18:51 | comment | added | Delio Mugnolo | s-numbers are just the non-hermitian equivalents of eigenvalues. just like eigenvalues, they can be defined for any possible hilbert space - and even on a banach space, as peter michor stresses. | |
| Feb 9, 2013 at 18:14 | comment | added | Felix Goldberg | @PeterMichor: Can you give a specific reference, please? Thanks! | |
| Feb 9, 2013 at 16:16 | comment | added | Peter Michor | @ Federico: They have been treated for operators on Banach spaces. See papers and books by Albrecht Pietsch, e.g. | |
| Feb 9, 2013 at 16:07 | comment | added | Federico Poloni | This holds if the underlying norm is the Euclidean norm. With other norms, I have no idea if this has ever been studied. | |
| Feb 9, 2013 at 16:07 | comment | added | Federico Poloni | S-numbers are also known as singular values. | |
| Feb 9, 2013 at 15:50 | history | answered | Peter Michor | CC BY-SA 3.0 |