Title:
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On $\cal K$-positive elements of the spectral resolution of a $\cal K$-positive operator (English) |
Title:
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O $\cal K$-kladných prvcích spektrálního rozkladu $\cal K$-kladného operátoru (Czech) |
Author:
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Marek, Ivo |
Language:
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English |
Journal:
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Časopis pro pěstování matematiky |
ISSN:
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0528-2195 |
Volume:
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90 |
Issue:
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4 |
Year:
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1965 |
Pages:
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442-450 |
Summary lang:
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Czech |
Summary lang:
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Russian |
. |
Category:
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math |
. |
MSC:
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47-20 |
idZBL:
|
Zbl 0138.39301 |
idMR:
|
MR0198249 |
DOI:
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10.21136/CPM.1965.108654 |
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Date available:
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2009-09-23T07:43:08Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/108654 |
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Reference:
|
[1] G. Birkhoff: An extension of Jentzsch's theorem.Trans. Amer. Math. Soc. 85 (1957) 219-227. MR 0087058 |
Reference:
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[2] Ф. P. Гантмахер: Teopия матриц.Mocква 1953. |
Reference:
|
[3] R. Jentzsch: Über Integralgleichungen mit positiven Kern.Journal für reine und angewandte Mathematik Bd. 141 (1912), 235-244. |
Reference:
|
[4] M. A. Kpacносельский: Tonoлогические методы в теории нелинейных интегральных уравнений.Mocквa 1956. |
Reference:
|
[5] M. A. Kpacносельский: Положительные решения операторныцч уравнений.Mocква 1960. |
Reference:
|
[6] M. Г. Крейн M. A. Pymмaн: Линейные операторы оставляющие инвариантным конус в пространстве Банаха.Усп. мат. наук III (1948), Но 1, 3 -95. |
Reference:
|
[7] I. Marek: A note on $\Cal K$-positive operators.Comment. Math. Univ. Carol. 4, 4 1963. 137-146. MR 0167843 |
Reference:
|
[8] I. Marek: Iterations of linear bounded operators and Kellogg's iterations in non-self-adjoint eigenvalue problems.Czech. Math. Journal 12 (1962), 536-554. MR 0149297 |
Reference:
|
[9] I. Marek: Kellogg's iterations with minimizing parameters.Comment. Math. Univ. Carol. 4, 2 (1963), 53-64. Zbl 0138.39302, MR 0172459 |
Reference:
|
[10] I. Marek: On the approximative construction of eigenvectors corresponding to a pair of complex conjugated eigenvalues.Matem. fyz. čas. 14 (1964), 277-288. MR 0191081 |
Reference:
|
[11] I. Marek: Some spectral properties of Radon-Nicolski operators and their generalizations.Comment. Math. Univ. Carol. 3, 1 (1962), 20-30. MR 0144216 |
Reference:
|
[12] I. Marek: Über einen speziellen Typus der linearen Gleichungen im Hilbertschen Raume.Čas. pěst. matem. 89 (1964), 155-172. Zbl 0187.38202, MR 0185443 |
Reference:
|
[13] H. Schaefer: Positive Transformationen in lokalkonvexen halbgeordneten Vektorräumen.Math. Annalen Bd. 129 (1955), 323-329. Zbl 0064.35702, MR 0070965 |
Reference:
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[14] H. Schaefer: Spectral properties of positive linear transformations.Pacif. Journ. Math. 10 (1960), 1009-1019. MR 0115090 |
Reference:
|
[15] H. Schaefer: On the singularities of an analytic functions with values in Banach space.Archiv der Mathematik XI (1960), 40-43. MR 0112059 |
Reference:
|
[16] A. E. Taylor: Introduction to functional analysis.J. Wiley publ. New York 1958. Zbl 0081.10202, MR 0098966 |
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