Pacific Journal of Mathematics

A characterization of the local Radon-Nikodým property by tensor products.

Donald P. Story

Article information

Source
Pacific J. Math., Volume 91, Number 1 (1980), 219-222.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102778867

Mathematical Reviews number (MathSciNet)
MR612900

Zentralblatt MATH identifier
0456.46038

Subjects
Primary: 46G10: Vector-valued measures and integration [See also 28Bxx, 46B22]
Secondary: 28B05: Vector-valued set functions, measures and integrals [See also 46G10]

Citation

Story, Donald P. A characterization of the local Radon-Nikodým property by tensor products. Pacific J. Math. 91 (1980), no. 1, 219--222. https://projecteuclid.org/euclid.pjm/1102778867


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References

  • [1] J. K. Brooks, Representations of Weak and Strong Integrals in Banach Spaces, Proc. Nat. Acad. Sci., 63 (1969), 266-270.
  • [2] N. Dunford and R. Schwartz, Linear Operators, Part I, Interscience, New York, 1958.
  • [3] J. Gil de Lamadrid, Measures and tensors, Trans- Amer. Math. Soc, 114 (1965), 98-121.
  • [4] D. R. Lewis, Conditional weak compactness in certain inductive tensor products, Math. Ann., 201 (1973), 201-209.
  • [5] D. P. Story, Tensor Products of Spaces of Measures and Vector Integration in Tensor Products Spaces, Dissertation, University of Florida, 1974.
  • [6] F. Treves, Topological Vector Spaces, Distributions, and Kernels, Academic Press, New York, 1967.