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Limits of analytic vector measures

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Ukrainian Mathematical Journal Aims and scope

Abstract

The article attempts to determine when a vector measure is the limit of a sequence of analytic vector measures in the sense of convergence in semivariation and when it is the limit of a sequence of such measures in variation.

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Literature cited

  1. V. Yu. Bentkus, “Analyticity of Gaussian measures,” Teoriya Veroyat. Primen.,27, No. 1, 147–154 (1982).

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  2. V. I. Bogachev, “Results on differentiable measures,” Mat. Sb.,127, No. 3, 336–351 (1985).

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  3. V. A. Romanov, “Limits of differentiable measures in Hilbert space,” Ukr. Mat. Zh.,33, No. 2, 215–219 (1981).

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  4. J. Diestel and J. J. Uhl, Vector Measures, Providence (1977).

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Author information

Authors and Affiliations

  1. Kirovograd Pedagogical Institute, USSR

    V. A. Romanov

Authors
  1. V. A. Romanov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 8, pp. 1133–1135, August, 1992.

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Romanov, V.A. Limits of analytic vector measures. Ukr Math J 44, 1035–1037 (1992). https://doi.org/10.1007/BF01057127

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  • DOI: https://doi.org/10.1007/BF01057127

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