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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On complete topological spaces


Author: John von Neumann
Journal: Trans. Amer. Math. Soc. 37 (1935), 1-20
MSC: Primary 46A30; Secondary 47L05, 54E50, 57N17
MathSciNet review: 1501776
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  • [1] F. Hausdorff, Mengenlehre, Berlin, deGruyter, 1927.
  • [2] J. von Neumann, Zur Algebra der Funktionaloperatoren und Theorie der normalen Operatoren, Mathematische Annalen, vol. 102 (1929), pp. 370-427.
  • [3] Paul Alexandroff and Paul Urysohn, Zur Theorie der topologischen Räume, Math. Ann. 92 (1924), no. 3-4, 258–266 (German). MR 1512213, 10.1007/BF01448008
  • [4] Paul Alexandroff, Über die Struktur der bikompakten topologischen Räume, Math. Ann. 92 (1924), no. 3-4, 267–274 (German). MR 1512214, 10.1007/BF01448009
  • [5] A. Tychonoff, Über einen Metrisationssatz von P. Urysohn, Math. Ann. 95 (1926), no. 1, 139–142 (German). MR 1512269, 10.1007/BF01206602
  • [6] J. von Neumann, Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren, Mathematische Annalen, vol. 102 (1929), pp. 49-131.
  • [7] Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877
  • [8] S. Banach, Sur les opérations dans les ensembles linéaires et leur application aux équations intégrales, Fundamenta Mathematicae, vol. 3 (1922), pp. 133-181.

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DOI: http://dx.doi.org/10.1090/S0002-9947-1935-1501776-7
Article copyright: © Copyright 1935 American Mathematical Society