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Title: О полных топологических линейных пространствах (Russian)
Title: On complete topological linear spaces (English)
Author: Pták, Vlastimil
Language: Russian
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 3
Issue: 4
Year: 1953
Pages: 301-364
Summary lang: English
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Category: math
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MSC: 46.3X
idZBL: Zbl 0057.09303
idMR: MR0064303
DOI: 10.21136/CMJ.1953.100092
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Date available: 2008-06-09T12:42:30Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100092
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Reference: [1] R. Arens: Duality in linear spaces.Duke Math. Journ., 14 (1947), 787-794. Zbl 0030.03403, MR 0022651, 10.1215/S0012-7094-47-01462-2
Reference: [2] S. Banach: Théorie des opérations linéaires.Monografie matematyczne, Warszawa 1932. Zbl 0005.20901
Reference: [3] J. Dieudonné: La dualité dans les espaces vectoriels topologiques.Ann. de l'École Norm. Sup., 59 (1942), 107-139. MR 0011532, 10.24033/asens.895
Reference: [4] J. Dieudonné L. Schwartz: La dualité dans les espaces (F) et (LF).Annales de l'Inst. Fourier, Université de Grenoble, 1 (1950), 61-101. MR 0038553
Reference: [5] W. F. Eberlein: Weak compactness in Banach spaces.Proc. Nat. Ac. of Sci., 33 (1947), 51-53. Zbl 0029.26902, MR 0021239, 10.1073/pnas.33.3.51
Reference: [6] E. Hewitt: Rings of real-valued continuous functions.Trans. Am. Math. Soc., 64 (1948), 45-99. Zbl 0032.28603, MR 0026239, 10.1090/S0002-9947-1948-0026239-9
Reference: [7] M. Katětov: Zur Theorie der topologischen Vektorräume.Bull. int. Acad. Tchèque, 53 (1943), No 46. MR 0020215
Reference: [8] M. Katětov: On convex topological linear spaces.Acta Fac. Rer. Nat. Univ. Carol., 181 (1948). MR 0026242
Reference: [9] M. Krein V. Šmulian: On regularly convex sets in the space conjugate to a Banach space.Ann. of Math., 41 (1940), 556-583. MR 0002009, 10.2307/1968735
Reference: [10] G. W. Mackey: On convex topological linear spaces.Trans. Am. Math. Soc., 60 (1946), 520-537. Zbl 0061.24302, MR 0020214, 10.1090/S0002-9947-1946-0020214-4
Reference: [11] J. v. Neumann: On complete topological spaces.Trans. Am. Math. Soc., 37 (1935), 1-20. Zbl 0011.16403, MR 1501776, 10.1090/S0002-9947-1935-1501776-7
Reference: [12] V. Šmulian: Über lineare topologische Räume.Mat. Sbornik, 7 (1941), 425-448. MR 0002703
Reference: [13] A. Weil: Sur les espaces a structure uniforme.Actualités scientifiques et Industrielles, 551 (1938). Zbl 0019.18604
Reference: [14] G. Kölhe: Über zwei Sätze von Banach.Math. Zeitschrift, 53 (1950), 203-209. MR 0038551, 10.1007/BF01175655
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