An extension theorem for separately continuous functions and its application to functional analysis

Vlastimil Pták

Czechoslovak Mathematical Journal (1964)

  • Volume: 14, Issue: 4, page 562-581
  • ISSN: 0011-4642

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Pták, Vlastimil. "An extension theorem for separately continuous functions and its application to functional analysis." Czechoslovak Mathematical Journal 14.4 (1964): 562-581. <http://eudml.org/doc/12238>.

@article{Pták1964,
author = {Pták, Vlastimil},
journal = {Czechoslovak Mathematical Journal},
keywords = {functional analysis},
language = {eng},
number = {4},
pages = {562-581},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An extension theorem for separately continuous functions and its application to functional analysis},
url = {http://eudml.org/doc/12238},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Pták, Vlastimil
TI - An extension theorem for separately continuous functions and its application to functional analysis
JO - Czechoslovak Mathematical Journal
PY - 1964
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 4
SP - 562
EP - 581
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/12238
ER -

References

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  1. S. Banach, Théorie des opérations linéaires, Monografie Mathematyczne 1 (1932). (1932) Zbl0005.20901
  2. W. F. Eberlein, 10.1073/pnas.33.3.51, Proc. Nat. Ac. of Sci. USA 33 (1947), 51-53. (1947) Zbl0029.26902MR0021239DOI10.1073/pnas.33.3.51
  3. Z. Frolík, The topological product of two pseudocompact spaces, Czech. Math. J. 85 (1960), 339-349. (1960) MR0116304
  4. I. Glicksberg, Stone-Čech compactification of products, Trans. Am. Math. Soc. 90 (1959), 369-382. (1959) MR0105667
  5. A. Grothendieck, 10.2307/2372076, Amer. J. Math. 74 (1952), 168-186. (1952) MR0047313DOI10.2307/2372076
  6. G. Köthe, Topologische lineare Räume, Berlin (1960). (1960) 
  7. V. Pták, Weak compactness in convex topological vector spaces, Czech. Math. J. 79 (1954), 175-186. (1954) MR0066550
  8. V. Pták, A combinatorial lemma on systems of inequalities and its application to analysis, Czech. Math. J. 84 (1959), 629-630. (1959) MR0110007
  9. V. Pták, 10.1090/pspum/007/0161128, Amer. Math. Soc, Proceedings of the Symposia in Pure Mathematics, 7 (1963), 437-450. (1963) MR0161128DOI10.1090/pspum/007/0161128

Citations in EuDML Documents

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  1. Marouan Ajlani, Critères de compacité faible par le lemme combinatoire de Pták
  2. Kamil John, Miloš Dostál, Completion of certain Λ -structures
  3. Pedro José Paúl, New applications of Pták's extension theorem to weak compactness
  4. Antonín Lešanovský, Thickness of a family of sets and uniform measures
  5. Ryszard Kretkowski, Rastislav Telgársky, On totally bounded games
  6. Stanislav Tomášek, On a certain class of Λ -structures. II
  7. Stanislav Tomášek, On a certain class of Λ -structures. I

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