| Title:
|
Spektrale Eigenschaften der ${\Cal K}$-positiven Operatoren und Einschlie{\ss}ungssätze für den Spektralradius (German) |
| Title:
|
Spectral properties of the ${\Cal K}$-positive operators and inclusion theorems for the spectral radius (English) |
| Author:
|
Marek, Ivo |
| Language:
|
German |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
16 |
| Issue:
|
4 |
| Year:
|
1966 |
| Pages:
|
493-517 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
47.20 |
| idZBL:
|
Zbl 0152.33701 |
| idMR:
|
MR0217622 |
| DOI:
|
10.21136/CMJ.1966.100747 |
| . |
| Date available:
|
2008-06-09T13:30:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100747 |
| . |
| Reference:
|
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| Reference:
|
[2] F. F. Bonsall: Endomorphisms of partially ordered vector spaces.J. London Math. Soc. 30 (1955), 133-144. Zbl 0065.09801, MR 0068753, 10.1112/jlms/s1-30.2.133 |
| Reference:
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[3] F. F. Bonsall: Linear operators in complete positive cones.Proc. London Math. Soc. (3) 8 (1958), 53-75. Zbl 0097.09803, MR 0092938 |
| Reference:
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[4] L. Collatz: Einschliessungssatz für die Eigenwerte von Integralgleichungen.Math. Zeitschr. 47 (1942), 395-398. MR 0007086, 10.1007/BF01180971 |
| Reference:
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[5] L. Collatz: Einschliessungssatz für die charakteristischen Zahlen von Matrizen.Math. Zeitschr. 48 (1942-43), 221-226. Zbl 0027.00604, MR 0008590, 10.1007/BF01180013 |
| Reference:
|
[6] Ф. P. Гаитмахер: Теория матриц.Москва 1953. Zbl 1151.94459 |
| Reference:
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[7] R. Jentzsch: Über Integralgleichungen mit positiven Kern.Journ. für reine und angew. Math. Bd. 141 (1912), 235-244. |
| Reference:
|
[8] K. P. Hadeler: Einschliessungssätze bei normalen und bei positiven Operatoren.Dissertation zur Erlangung des Doktorgrades der Mathematisch Naturwissenschaftlichen Fakultät der Universität Hamburg. Hamburg 1965. MR 0187090 |
| Reference:
|
[9] M. A. Красносельский: Положительные решения операторных уравнений.Москва 1962. Zbl 1005.68507 |
| Reference:
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[10] М. Г. Крейи М. А. Рутман: Линейные операторы оставляющие инвариантными конус в пространстве Банаха.Усп. мат. наук III (1948), N1, 3-95. Zbl 1154.94303 |
| Reference:
|
[11] I. Marek: А note on $\chi$-positive operators.Coment. Math. Univ. Carol. 4,4 (1963), 137 to 146. MR 0167843 |
| Reference:
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[12] I. Marek: Iterations of linear bounded operators and Kellogg's iterations in non self-adjoint eigenvalue problems.Czech. Math. Journ. 12 (1962), 536-554. MR 0149297 |
| Reference:
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[13] I. Marek: On approximative construction of eigenvectors corresponding to a pair of complex conjugated eigenvalues.Mat. fyz. časopis 14 (1964), 277-288. MR 0191081 |
| Reference:
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[14] I. Marek: Some spectral properties of Radon-Nicolski operators and some their generalizations.Comment. Math. Univ. Carol, 3, 1 (1962), 20-30. MR 0144216 |
| Reference:
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[15] I. Marek: $u_0$-Positive operators and some of their applications.J. Soc. Industr. Apl. Math. (Im Druck.) MR 0233176 |
| Reference:
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[16] D. W. Sasser: Quasi-positive operators.Pacif. J. Math. 14 (1964), 1029-1037. Zbl 0187.38201, MR 0169067, 10.2140/pjm.1964.14.1029 |
| Reference:
|
[17] I. Sawashima: On spectral properties of some positive operators.Nat. Sci. Rep. of the Ochanomizu Univ. 15 (1964), 53-64. Zbl 0138.07801, MR 0187096 |
| Reference:
|
[18] H. Schaefer: Halbgeordnete lokalkonvexe Vektorräume.Math. Annalen Bd. 135 (1958), 115-141. Zbl 0080.31501, MR 0106401, 10.1007/BF01343098 |
| Reference:
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[19] H. Schaefer: Halbgeordnete lokalkonvexe Vektorräume II.Math. Annalen Bd. 138 (1959), 254-286. Zbl 0092.11303, MR 0106402 |
| Reference:
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[20] H. Schaefer: On the singularities of an analytic function with values in a Banach space.Arch. Math. XI (1960), 40-43. Zbl 0093.12402, MR 0112059, 10.1007/BF01236904 |
| Reference:
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[21] H. Schaefer: Positive Transformationen in lokalkonvexen Vektorräumen.Math. Annalen Bd. 129 (1955), 323-329. MR 0070965, 10.1007/BF01362375 |
| Reference:
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[22] H. Schaefer: Spectral properties of positive linear transformations.Pacif. J. Math. 10 (1960), 1009-1019. MR 0115090, 10.2140/pjm.1960.10.1009 |
| Reference:
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[23] A. E. Taylor: Introduction to Functional Analysis.J. Wiley publ. New York 1958. Zbl 0081.10202, MR 0098966 |
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[24] P. C. Варга (R. S. Varga): Численные истоды решения многомерных многогрупповых диффузионных уравнений.Теория ядерных реакторов, стр. 187-214. Москва 1963. Zbl 0163.23504 |
| Reference:
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| . |
