Title:
|
Königova věta a důkaz konvergence Kelloggova iteračního procesu (Czech) |
Title:
|
König's theorem and proof of convergence for the Kellogg iteration process (English) |
Title:
|
Königscher Satz und Konvergenzbeweis für das Kelloggsche Iterationsverfahren (German) |
Author:
|
Groschaftová, Zdenka |
Author:
|
Marek, Ivo |
Language:
|
Czech |
Journal:
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Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
92 |
Issue:
|
1 |
Year:
|
1967 |
Pages:
|
29-41 |
Summary lang:
|
German |
Summary lang:
|
Russian |
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Category:
|
math |
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MSC:
|
47-30 |
idZBL:
|
Zbl 0169.17202 |
idMR:
|
MR0229071 |
DOI:
|
10.21136/CPM.1967.117595 |
. |
Date available:
|
2009-09-23T07:50:50Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/117595 |
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Reference:
|
[1] G. R. Allan: A spectral theory for locally convex algebras.Proc. London Math. Soc. (3), 15(1965), 399-421. Zbl 0138.38202, MR 0176344 |
Reference:
|
[2] J. Hadamarď, Mandelbrojt: La serie de Taylor et son prolongement analytique.Gauthier-Villars, Paris 1926. |
Reference:
|
[3] J. König: Über eine Eigenschaft der Potenzreihen.Math. Annalen 23 (1884), 447-449. MR 1510264 |
Reference:
|
[4] В. H. Кyблaнoвcкaя: Пpимeнeниe aнaлитачecкoгo пpoдoлжeния пocpeдcтвoм зaмeны пepeмeнюцx в чиcлeннoм aнaлизe.Tpyды мaтeм. инcт. им. B. A. Cтeклoвa LIII (1959), 145-185. |
Reference:
|
[5] I. Marek: Iterations of linear bounded operators and Kellogg's iterations in non self-adjoint eigenvalue problems.Czech. Math. Јourn. 12 (1962), 536-554. MR 0149297 |
Reference:
|
[6] C. C. Moвшuц A. B. Toвбuн: Пo пoвoдy тeopeмы Königa o пpиближeннoм peшeнии ypaвнeний.Учeн. зaпиcки Kиeвcкoгo yнив. cep. физ.-мaтeм. 4 (1939), Но. 5, 135-145. |
Reference:
|
[7] Ф. Puсс, Б. С. Haдь (F. Riesz B. S. Nagy): Лекции пo фyнкциoнaльнoмy aнaлизy.Фйзмaтгиз, Mocквa 195З. |
Reference:
|
[8] A. E. Taylor: Introduction to functional analysis.Ј. Wiley publ., New York 1958. Zbl 0081.10202, MR 0098966 |
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