König's theorem and proof of convergence for the Kellogg iteration process

Zdenka Groschaftová; Ivo Marek

Časopis pro pěstování matematiky (1967)

  • Volume: 092, Issue: 1, page 29-41
  • ISSN: 0528-2195

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Groschaftová, Zdenka, and Marek, Ivo. "Königova věta a důkaz konvergence Kelloggova iteračního procesu." Časopis pro pěstování matematiky 092.1 (1967): 29-41. <http://eudml.org/doc/20961>.

@article{Groschaftová1967,
author = {Groschaftová, Zdenka, Marek, Ivo},
journal = {Časopis pro pěstování matematiky},
keywords = {functional analysis},
language = {cze},
number = {1},
pages = {29-41},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Königova věta a důkaz konvergence Kelloggova iteračního procesu},
url = {http://eudml.org/doc/20961},
volume = {092},
year = {1967},
}

TY - JOUR
AU - Groschaftová, Zdenka
AU - Marek, Ivo
TI - Königova věta a důkaz konvergence Kelloggova iteračního procesu
JO - Časopis pro pěstování matematiky
PY - 1967
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 092
IS - 1
SP - 29
EP - 41
LA - cze
KW - functional analysis
UR - http://eudml.org/doc/20961
ER -

References

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  1. G. R. Allan, A spectral theory for locally convex algebras, Proc. London Math. Soc. (3), 15(1965), 399-421. (1965) Zbl0138.38202MR0176344
  2. J. Hadamarď, Mandelbrojt, La serie de Taylor et son prolongement analytique, Gauthier-Villars, Paris 1926. (1926) 
  3. J. König, Über eine Eigenschaft der Potenzreihen, Math. Annalen 23 (1884), 447-449. MR1510264
  4. В. H. Кyблaнoвcкaя, Пpимeнeниe aнaлитачecкoгo пpoдoлжeния пocpeдcтвoм зaмeны пepeмeнюцx в чиcлeннoм aнaлизe, Tpyды мaтeм. инcт. им. B. A. Cтeклoвa LIII (1959), 145-185. (1959) 
  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. (1962) MR0149297
  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. (1939) 
  7. Ф. Puсс, Б. С. Haдь (F. Riesz B. S. Nagy), Лекции пo фyнкциoнaльнoмy aнaлизy, Фйзмaтгиз, Mocквa 195З. (195З) 
  8. A. E. Taylor, Introduction to functional analysis, Ј. Wiley publ., New York 1958. (1958) Zbl0081.10202MR0098966

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