Completeness and the open mapping theorem

Vlastimil Pták

Bulletin de la Société Mathématique de France (1958)

  • Volume: 86, page 41-74
  • ISSN: 0037-9484

How to cite

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Pták, Vlastimil. "Completeness and the open mapping theorem." Bulletin de la Société Mathématique de France 86 (1958): 41-74. <http://eudml.org/doc/86947>.

@article{Pták1958,
author = {Pták, Vlastimil},
journal = {Bulletin de la Société Mathématique de France},
keywords = {functional analysis},
language = {eng},
pages = {41-74},
publisher = {Société mathématique de France},
title = {Completeness and the open mapping theorem},
url = {http://eudml.org/doc/86947},
volume = {86},
year = {1958},
}

TY - JOUR
AU - Pták, Vlastimil
TI - Completeness and the open mapping theorem
JO - Bulletin de la Société Mathématique de France
PY - 1958
PB - Société mathématique de France
VL - 86
SP - 41
EP - 74
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/86947
ER -

References

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  1. [1] BANACH (STEFAN). — Théorie des opérations linéaires, Warszawa, 1932 (Monografje Matematyczne, Tom 1). Zbl0005.20901JFM58.0420.01
  2. [2] COLLINS (HERON SHERWOOD). — Completeness and compactness in linear topological spaces (Trans. Amer. math. Soc., t. 79, 1955, p. 256-280). Zbl0064.35502MR16,1030a
  3. [3] GROTHENDIECK (ALEXANDRE). — Sur la complétion du dual d'un espace vectoriel localement convexe (C. R. Acad. Sc., t. 230, 1950, p. 605-606). Zbl0034.37401
  4. [4] GROTHENDIECK (ALEXANDRE). — Sur les espaces (F) et (DF) (Summa Bras. Math., t. 3, 1954, p. 57-123). Zbl0058.09803MR17,765b
  5. [5] KAPLAN (SAMUEL). — Cartesian products of reals (Amer. J. Math., t. 74, 1952, p. 936-654). Zbl0049.35402MR14,1002a
  6. [6] KÖTHE (GOTTFRIED). — Die Quotientenräume eines linearen vollkommenen Raumes (Math. Z., t. 5, 1949, p. 17-35). Zbl0029.05001
  7. [7] KREIN (M.) and SMULIAN (V.). — On regularly convex sets in the space conjugate to a Banach space (Annals of Math., Series 2, t. 41, 1940, p. 556-583). Zbl0024.41305MR1,335eJFM66.0533.02
  8. [8] PTÁK (VLASTIMIL). — On complete topological linear spaces (Czechoslovak Math. J., t. 3, (78), 1953, p. 301-364). Zbl0052.33803MR16,262c
  9. [9] PTÁK (VLASTIMIL). — Compact subsets of convex topological linear spaces (Czechoslovak Math. J., t. 4, (79), 1954, p. 51-74). Zbl0057.09401MR18,55c
  10. [10] ROBERTSON (A.) and ROBERTSON (W.). — On the closed graph theorem (Proc. Glasgow Math. Ass., t. 3, 1956, p. 9-12). Zbl0073.08702MR18,810d

Citations in EuDML Documents

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  1. Vlastimil Pták, On the closed graph theorem
  2. Manuel Valdivia, The space D ( U ) is not B r -complete
  3. Dominik Noll, On the theory of B - and B r -spaces in general topology
  4. D. Van Dulst, Barreledness of subspaces of countable codimension and the closed graph theorem
  5. Vlastimil Pták, The principle of uniform boundedness and the closed graph theorem
  6. Tibor Neubrunn, Generalized continuity and separate continuity
  7. B. Banaschewski, A. Pultr, Booleanization
  8. D. Bucchioni, André Goldman, Sur certains espaces de formes linéaires liés aux mesures vectorielles
  9. Manuel Valdivia, On B r -completeness
  10. J. Cao, R. Drozdowski, Zbigniew Piotrowski, Weak continuity properties of topologized groups

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