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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: 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
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Date available: 2009-09-23T07:50:50Z
Last updated: 2020-07-28
Stable URL: 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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