| Title:
|
Norms of certain rational functions of a matrix and Schur's criterion for polynomials (English) |
| Author:
|
Young, N. J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
19 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
673-688 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12D10 |
| MSC:
|
15A42 |
| MSC:
|
30C10 |
| MSC:
|
30C15 |
| MSC:
|
34D99 |
| MSC:
|
46C10 |
| MSC:
|
47A30 |
| idZBL:
|
Zbl 0388.30004 |
| idMR:
|
MR518179 |
| . |
| Date available:
|
2008-06-05T20:59:29Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105883 |
| . |
| Reference:
|
[1] R. NEVANLINNA: Über beschränkte Funktionen, die in gegebenen Punkten vorgeschriebene Werte annehmen.Ann. Acad. Sci. Fennicae 13, No 1 (1919). |
| Reference:
|
[2] V. PTÁK: Norms and the spectral radius of matrices.Csechosl. Math. J. 87 (1962), 553-557. MR 0146190 |
| Reference:
|
[3] V. PTÁK: Isometric parts of operators and the critical exponent.Časopis pro pěstování matematiky 101 (1976), 383-388. MR 0458214 |
| Reference:
|
[4] V. PTÁK N. J. YOUNG: Functions of operators and the spectral radius.(to appear). MR 0562769 |
| Reference:
|
[5] J. SCHUR: Über Potenzreihem, die im Innern des Einheitskreises beschränkt sind.J. für Mathematik 147 (1917), 205-232 and 148 (1918), 122-145. |
| Reference:
|
[6] N. J. YOUNG: Matrices which maximise any analytic function.to appear. Zbl 0442.15012, MR 0565661 |
| . |
