| Title:
|
On interations of bounded linear operators and Kellog's iterations in not self-adjoint eigenvalue problems (English) |
| Author:
|
Marek, I. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
1 |
| Issue:
|
4 |
| Year:
|
1960 |
| Pages:
|
12-21 |
| . |
| Category:
|
math |
| . |
| MSC:
|
65Jxx |
| . |
| Date available:
|
2008-06-05T20:15:44Z |
| Last updated:
|
2019-02-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104880 |
| . |
| Reference:
|
[1] I. S. Berezin N. P. Židkov: Mětody vyčislenij II..Moskva 1959. MR 0121958 |
| Reference:
|
[2] I. A. Birger: Někotoryje matěmatičeskije metody rešenija inženěrnych zadač.Moskva 1956. |
| Reference:
|
[3] N. Dunford: Spectral operators.Pacif. J. Math. (1954), 321-354. Zbl 0056.34601, MR 0063563, 10.2140/pjm.1954.4.321 |
| Reference:
|
[4] N. Dunford: A survey of the theory of spectral operators.Bull. Amer. Math. Soc. 64 (1958) N 5, 217-274. Zbl 0088.32102, MR 0104865, 10.1090/S0002-9904-1958-10219-0 |
| Reference:
|
[5] R. A. Frazer, al.: Elementary matrices and some applications to dynamics and differential equations.Cambridge, 1947. |
| Reference:
|
[6] J. Kolomý: .to be published in Czechoslovak Math. J. 1961. |
| Reference:
|
[7] M. A. Krasnoselskij: Topologičeskije mětody v těorii nělinějnych intěgralnych uravněnij.Moskva 1958. |
| Reference:
|
[8] M. G. Krejn M. A. Rutman: Linějnyje operatory ostavljajuščije invariantnym konus v prostranstvě Banacha.Usp. mat. nauk III. (1948), 3-95. |
| Reference:
|
[9J F. Riesz B. S. Nagy: Lesons d'analyse fonctionelle.Budapest, 1953. 10.2140/pjm.1960.10.1009 |
| Reference:
|
[10] H. Schaefer: Some spectral properties of positive linear operators.Pacif. J. Math. 10 (1960), 1009-1019. Zbl 0129.08801, MR 0115090, 10.1007/BF02414854 |
| Reference:
|
[11] A. E. Taylor: Spectral theory of closed distributive operators.Acta. Math. 84 (1951), 189-223. Zbl 0042.12103, MR 0040582, 10.1007/BF02565647 |
| Reference:
|
[12] R. Wavre: L'itération directe des operateurs hermitiens et deux théorèmes qui en dependent.Comm. Math. Helv. 15 (1943), 299-317. MR 0010263, 10.1007/BF02568565 |
| Reference:
|
[13] R. Wavre: L'itération directe des operateurs hermitiens.Comm. Math. Helv. 16 (1944), 65-72. MR 0010262, 10.1007/BF01312438 |
| Reference:
|
[14] H. Wielandt: Das Iterationsverfahren bei nicht selbstadjungierten linearen Eigenwertaufgaben.Math. Zeitschr. 50 (1944), 93-143. Zbl 0061.26105, MR 0017460 |
| Reference:
|
[15] A. C. Zaanen: Über vollstetige symmetrisch und symmetrisierbare Operatoren.Nieuw Archief voor Wiskunde, (2) 22 (1948), 57-80. MR 0015661 |
| Reference:
|
[16] A. C. Zaanen: On linear functional equations.Nieuw Archief voor Wiskunde, (2), 22 (1948), 269-282. Zbl 0030.03402, MR 0024070 |
| . |
