Measurable linear manifolds in products of linear spaces with measure

  • O. G. Smolyanov
Article
Received:

Abstract

We consider some properties of measurable linear manifolds in products of linear spaces with measure which play an important part in the theory of measurable and polylinear functionals in such spaces. An example is adduced of an application of the results obtained in order to investigate the properties of series of independent random variables.

Keywords

Manifold Linear Space Independent Random Variable Linear Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    M. Loeb, Theory of Probability [in Russian], Moscow (1962).Google Scholar
  2. 2.
    O. G. Smolyanov, “On measurable polylinear and power functionals in some linear spaces with measure,” Dokl. Akad. Nauk SSSR,170, No. 3, 526–529 (1966).Google Scholar
  3. 3.
    A. M. Vershik, “Duality in the theory of measure in linear spaces,” Dokl. Akad. Nauk SSSR,170, No. 3, 497–500 (1966).Google Scholar

Copyright information

© Consultants Bureau 1969

Authors and Affiliations

  • O. G. Smolyanov
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

Personalised recommendations