A nonstandard characterization of mixed topologies

  • K. D. Stroyan
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 369)


Bounded Continuous Function Standard Notion Convex Topology Schwartz Distribution Mackey Topology 
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  1. [1]
    Alexiewicz, A., On the two-norm convergence, Studia Math 14 (1953), 49–56.MathSciNetzbMATHGoogle Scholar
  2. [2]
    Alexiewicz, A., and Semadeni, Z., Some properties of two-norm spaces and a characterization of reflexivity of Banach spaces, Studia Math 19 (1960), 115–132.MathSciNetzbMATHGoogle Scholar
  3. [3]
    Buck, R. C., Bounded continuous functions on a locally compact space, Mich. Math. J., 5 (1958), 95–104.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    Conway, J. B., The strict topology and compactness in the space of measures II, TAMS 126 (1967), 474–486.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    Cooper, J. B., The strict topology and spaces with mixed topologies, PAMS 30 (1971), 583–592.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    Dorroh, J. R., The localization of the strict topology via bounded sets, PAMS 20 (1969), 413–414.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    Fichtenholz, G., Sur les fonctionnelles linearies continues au sens generalise, Recueil Math 4 (1938), 193–214.zbMATHGoogle Scholar
  8. [8]
    Henson, C. W., and Moore, L. C., Jr., The nonstandard theory of topological vector spaces, TAMS (to appear).Google Scholar
  9. [9]
    Luxemburg, W. A. J., editor, Applications of Model Theory to Algebra, Analysis, and Probability, Holt, Rinehart and Winston, New York, 1969.zbMATHGoogle Scholar
  10. [10]
    Luxemburg, W. A. J., A general theory of monads, in [9].Google Scholar
  11. [11]
    Luxemburg, W. A. J. and Stroyan, K. D., Lecture Notes on Nonstandard Analysis (mimeographed), Caltech bookstore, Pasadena, 1973.Google Scholar
  12. [12]
    Machover, M., and Hirschfeld, J., Lectures on Non-Standard Analysis, Springer-Verlag lecture notes 94, Berlin, 1969.CrossRefzbMATHGoogle Scholar
  13. [13]
    Robinson, A., Non-Standard Analysis, Studies in Logic and the Foundations of Math, North Holland, Amsterdam, 1966.zbMATHGoogle Scholar
  14. [14]
    Robinson, A., and Luxemburg, W. A. J., Contributions to Non-standard Analysis, North Holland, Amsterdam, 1972.zbMATHGoogle Scholar
  15. [15]
    Stroyan, K. D., A characterization of the Mackey uniformity m(L, L1) for finite measures, to appear.Google Scholar
  16. [16]
    Wiweger, A., Linear spaces with mixed topology, Studia Math 20 (1961), 47–68.MathSciNetzbMATHGoogle Scholar
  17. [17]
    Young, L., Functional analysis — a non-standard treatment with semifields, in [14].Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • K. D. Stroyan
    • 1
  1. 1.University of WisconsinMadison

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