Siberian Mathematical Journal

, Volume 30, Issue 5, pp 744–751 | Cite as

Atomic decomposition of vector measures

  • A. G. Kusraev
  • S. A. Malyugin


Vector Measure Atomic Decomposition 
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Literature Cited

  1. 1.
    K. P. S. B. Rao and M. B. Rao, Theory of Charges. A Study of Finitely Additive Measures, Academic Press, London-New York (1983).Google Scholar
  2. 2.
    L. V. Kantorowicz, B. Z. Wilich, and A. G. Pinsker, Functional Analysis in Semiordered Spaces [Russian translation], Gostekhizdat, Moscow-Leningrad (1950).Google Scholar
  3. 3.
    B. Z. Wilich, Introduction to the Theory of Semiordered Spaces [Russian translation], Fizmatgiz, Moscow (1961).Google Scholar
  4. 4.
    J. Hoffmann-Jorgensen, “Vector measures,” Math. Scand.,28, No. 1, 5–32 (1971).Google Scholar
  5. 5.
    C. Constantinescu, “Atoms of group valued measures,” Comment. Math. Helv.,51, No. 2, 191–205 (1976).Google Scholar
  6. 6.
    K. P. S. B. Rao and P. de Lucia, “Sulle dunzioni fortemente continue a valori in un gruppo topologico,” Rend. Circ. Math. Palermo,32, No. 2, 188–198 (1983).Google Scholar
  7. 7.
    J. A. Crenshaw, “Extreme positive linear operators,” Math. Scand.,25, No. 2, 195–217 (1969).Google Scholar
  8. 8.
    D. A. Vladimirov, Boolean Algebras [in Russian], Nauka, Moscow (1969).Google Scholar
  9. 9.
    J. Diestel and J. J. Uhl, “Vector measures,” Am. Math. Soc., Providence R.I. (Math. Surverys; No. 15) (1977).Google Scholar
  10. 10.
    A. G. Kusraev and V. Z. Strizhevskii, “Lattice normed spaces and majorized operators,” in: Investigations in Geometry and Mathematical Analysis [in Russian], Nauka, Novosibirsk (1987), pp. 132–158.Google Scholar
  11. 11.
    A. G. Kusraev, “Elements of Boolean valued analysis,” Preprint, Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk (1987).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. G. Kusraev
  • S. A. Malyugin

There are no affiliations available

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