ArticleOriginal scientific text

Title

Compactness properties of the integration mapassociated with a vector measure

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of Tasmania, Hobart, 7001, Australia
  2. School of Mathematics, University of New South Wales, Kensington, 2033, Australia

Bibliography

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  3. J. Diestel, Sequences and Series in Banach Spaces, Springer, New York, 1984.
  4. J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, 1977.
  5. P. G. Dodds, B. de Pagter and W. J. Ricker, Reflexivity and order properties of scalar-type spectral operators in locally convex spaces, Trans. Amer. Math. Soc. 293 (1986), 355-380.
  6. I. Kluvánek, Applications of vector measures, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 101-134.
  7. I. Kluvánek and G. Knowles, Vector Measures and Control Systems, North-Holland, Amsterdam, 1976.
  8. S. Okada, A tensor product vector integral, in: Lecture Notes in Math. 1089, Springer, Berlin, 1984, 127-145.
  9. S. Okada, The dual space of L1(μ) for a vector measure μ, J. Math. Anal. Appl. 177 (1993), 583-599.
  10. S. Okada and W. J. Ricker, Non-weak compactness of the integration map for vector measures, J. Austral. Math. Soc. Ser. A, 54 (1993), 287-303.
Pages:
175-185
Main language of publication
English
Received
1991-07-30
Published
1993
Exact and natural sciences