| Title:
|
Eine Eigenwertabschätzung für Integraloperatoren mit stochastischen Kernen (German) |
| Title:
|
An estimate of eigenvalues of an integral operators with stochastic kerns (English) |
| Author:
|
Rhodius, Adolf |
| Language:
|
German |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
183-193 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A42 |
| MSC:
|
15A51 |
| MSC:
|
45C05 |
| MSC:
|
47B99 |
| MSC:
|
47G05 |
| MSC:
|
47Gxx |
| idZBL:
|
Zbl 0354.45005 |
| idMR:
|
MR0454749 |
| . |
| Date available:
|
2008-06-05T20:54:07Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105762 |
| . |
| Reference:
|
[1] P. M. ANSELONE: Collectively Compact Operator Approximation Theory.Prentice-Hall, Englewood Cliffs, New Jersey (1971). Zbl 0228.47001, MR 0443383 |
| Reference:
|
[2] P. M. ANSELONE J. W. LEE: Spectral properties of integral operators with nonnegative kernels.Linear Algebra and its Appl. 9, 67-87 (1974). MR 0361905 |
| Reference:
|
[3] F. L. BAUER: An elementary proof of the Hopf inequality.Num. Math. 7, 331-337 (1965). Zbl 0148.38103, MR 0188785 |
| Reference:
|
[4] F. L. BAUER E. DEZTSCH J. STOER: Abschätzungen für Eigenwerte positiver linearer Operatoren.Linear Algebra and its Appl. 2, 275-301 (1969). MR 0245587 |
| Reference:
|
[5] G. BIRKHOFF: Extensions of Jentzsch's theorem.Trans. Amer. Math. Soc. 85, 219-227 (1957). Zbl 0079.13502, MR 0087058 |
| Reference:
|
[6] E. DEUTSCH, Ch. ZENGER: Inclusion domains for the eigenvalues of stochastic matrices.Numer. Math. 18, 182-192 (1971). MR 0301908 |
| Reference:
|
[7] G. FROBENIUS: Über Matrizen aus positiven Elementen.Akad. Wiss. Berlin, 471-476 (1908). |
| Reference:
|
[8] G. FROBENIUS: Über Matrizen aus nicht negativen Elementen.Akad. Wiss. Berlin, 456-477 (1912). |
| Reference:
|
[9] E. HOPF: An inequality for positive linear integral operators.J. of Math, and Mech. 12, 683-692 (1963). Zbl 0115.32501, MR 0165325 |
| Reference:
|
[10] R. JENTZSCH: Über Integralgleichungen mit positlvem Kern.Crelles Journal 141, 235-244 (1912). |
| Reference:
|
[11] I. MAREK: Spektrale Eigenschaften der $K$-positiven Operatoren und Einschliessungssätze für den Spektralradius.Czechosl. math. J. 16 (91), 493-517 (1966). Zbl 0152.33701, MR 0217622 |
| Reference:
|
[12] A. OSTROWSKI: Positive matrices and functional analysis.in Recent Advances in Matrix Theory, Univ. of Wisconsin Press, Madison 81-101 (1964). Zbl 0135.01504, MR 0169858 |
| Reference:
|
[13] O. PERRON: Zur Theorie der Matrizen.Math. Ann. 64, 248-263 (1908). |
| . |
