Skip to main content

Uniform measures and CoSaks spaces

  • Conference paper
  • First Online:
Functional Analysis, Holomorphy, and Approximation Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 843))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arens, R.F., Ells, J., On embedding uniform and topological spaces Pac, J. Math. 6 (1956) 397–403.

    MathSciNet  Google Scholar 

  2. Azzam, N., Meusures sur les espaces uniformes, Prépublications Université St.-Etienne 1974.

    Google Scholar 

  3. Berezanskii, I.A., Measures on uniform spaces, Trans. Moscow Math. Soc. 19 (1968) 1–40.

    MathSciNet  Google Scholar 

  4. Berruyer, J., Ivol, B., Espaces de mesures et compactologies, Publ. Dép. Math. Lyon 9.1 (1974) 1–36.

    MathSciNet  MATH  Google Scholar 

  5. Buchwalter, H., Topologies, bornologies et compactologies (Lyon, undated)

    Google Scholar 

  6. Buchwalter, H., Quelques curieuses topologies sur Mσ(T) et Mβ(T) Ann. Inst. Fourier (to appear).

    Google Scholar 

  7. Buchwalter, H., Pupier, R., Complétion d'un espace uniforme et formes linéaires, C.R. Acad. Sc. Paris A 273 (1971) 96–98.

    MathSciNet  MATH  Google Scholar 

  8. Cigler, J., Funktoren auf Kategorien von Banachräumen (Lecture Notes, Vienna 1974).

    Google Scholar 

  9. Cooper, J.B., Saks spaces and applications to functional analysis (Amsterdam, 1978).

    Google Scholar 

  10. Cooper, J.B., Schachermayer, W., Saks spaces and vector valued measures (Institutsbericht 98, Linz, 1978).

    Google Scholar 

  11. Deaibes, A., Espaces uniformes et espaces de mesures, Publ. Dép. Math. Lyon 12.4 (1975) 1–166.

    MathSciNet  MATH  Google Scholar 

  12. Diestel, J., Uhl, J.J., The theory of vector measures (Providence 1977).

    Google Scholar 

  13. Dostal, M.A., Some recent results on topological vector spaces (Springer Lecture Notes 384 (1974) 20–91).

    MathSciNet  MATH  Google Scholar 

  14. Dudley, R.M., Convergence of Baire measures, Studia Math. 27 (1966) 252–268.

    MathSciNet  MATH  Google Scholar 

  15. Engelking, R., Outline of general topology (Amsterdam, 1968).

    Google Scholar 

  16. Fedorova, V.L., Linear functionals and the Daniell integral on spaces of uniformly continuous functions, Usp. Math. Nauk 133.1 (1967) 172–173 (Russian).

    MathSciNet  Google Scholar 

  17. Frolik, Z., Mesures uniformes, C.R. Acad. Sc. Paris A 277 (1973) 105–108.

    MathSciNet  MATH  Google Scholar 

  18. Frolik, Z., Représentation de Riesz des mesures uniformes, C.R. Acad. Sc. Paris, A 277 (1973) 163–166.

    MathSciNet  MATH  Google Scholar 

  19. Frolik, Z., Metric-fine uniform spaces (Seminar Abstract Analysis-Prague, 1974).

    Google Scholar 

  20. Hager, A., Measurable uniform spaces, Fund. Math. 77 (1972) 51–73.

    MathSciNet  MATH  Google Scholar 

  21. Haydon, R.G., Sur le espaces M(T) et M(T), C.R. Acad. Sc. Paris 275 (1972) A 989–991.

    MathSciNet  MATH  Google Scholar 

  22. Isbell, J.R., Algebras of uniformly continuous functions, Ann. Math. 68 (1958) 96–125.

    Article  MathSciNet  MATH  Google Scholar 

  23. Isbell, J.R., Uniform spaces (Providence, 1964).

    Google Scholar 

  24. John, K., Differentiable manifolds as topological linear spaces, Math. Ann. 186 (1970) 177–190.

    Article  MathSciNet  MATH  Google Scholar 

  25. Johnson, J., Lipschitz function spaces for arbitrary metrics, Bull. Amer. Math. Soc. 78 (1972) 702–706.

    Article  MathSciNet  MATH  Google Scholar 

  26. Johnson, J., Banach spaces of Lipschitz functions and vector valued Lipschitz functions, Bull. Amer. Math. Soc. 75 (1969) 1334–1338.

    Article  MathSciNet  MATH  Google Scholar 

  27. Kirk, R.B., Topologies on spaces of Baire measures, Trans. Amer. Math. Soc. 184 (1973) 1–29.

    Article  MathSciNet  MATH  Google Scholar 

  28. Leeuw, K. de, Banach spaces of Lipschitz functions, Studia Math. 21 (1961) 55–66.

    MathSciNet  MATH  Google Scholar 

  29. Leger, C., Soury, P., Le convexe topologique des probabilités sur un espace topologique, J. Math. Pure et Appl. 50 (1971) 363–425.

    MathSciNet  MATH  Google Scholar 

  30. Mac Lane, S., Categories for the working mathematican (Berlin, 1971).

    Google Scholar 

  31. Manes, E.G., A characterisation of dual spaces, Func. Anal. 17 (1974) 292–295.

    Article  MathSciNet  MATH  Google Scholar 

  32. Michael, E., A short proof of the Arens-Eells embedding theorem Proc. Amer. Math. Soc. 15 (1964) 415–416.

    Article  MathSciNet  MATH  Google Scholar 

  33. Pachl, J., Free uniform measures, Comm. Math. Univ. Carol. 15 (1974) 541–553.

    MathSciNet  MATH  Google Scholar 

  34. Pachl, J., Compactness in spaces of uniform measures, Trans. Amer. Math. Soc. (to appear).

    Google Scholar 

  35. Ptak, V., Algebraic extensions of topological spaces, Proc. of a Symposium, Berlin 1967-VEB Berlin (1969, 179–188).

    Google Scholar 

  36. Pupier, R., Méthodes fonctorielles en topologies générale, Thèse, Univ. Lyon I (1971).

    Google Scholar 

  37. Raikov, D.A., Free locally convex spaces, Math. Sbornik 63 (1964) 582–590.

    MathSciNet  Google Scholar 

  38. Rome, M., L'espace M(T), Publ. Dép. Math. Lyon 9–1 (1972) 37–60.

    MathSciNet  MATH  Google Scholar 

  39. Roy, A.K., Extreme points and linear isometries of the Banach space of Lipschitz functions, Can. J. Math. 20 (1968), 1150–1164.

    Article  MathSciNet  MATH  Google Scholar 

  40. Schaefer, H.H., Topological vector spaces (New York, 1966).

    Google Scholar 

  41. Tomasek, S., On certain classes of Λ-structures I, II, Czech. Math. J. 20 (1970) 1–18, 19–33.

    MathSciNet  MATH  Google Scholar 

  42. Wheeler, R.F., The strict topology, separable measures and paracompactness, Pac. J. Math. 47 (1973) 287–302.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Silvio Machado

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Cooper, J.B., Schachermayer, W. (1981). Uniform measures and CoSaks spaces. In: Machado, S. (eds) Functional Analysis, Holomorphy, and Approximation Theory. Lecture Notes in Mathematics, vol 843. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089276

Download citation

  • DOI: https://doi.org/10.1007/BFb0089276

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10560-2

  • Online ISBN: 978-3-540-38529-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics