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.
Citation:
O. G. Smolyanov, “Measurable linear manifolds in products of linear spaces with measure”, Mat. Zametki, 5:5 (1969), 623–634; Math. Notes, 5:5 (1969), 374–379
\Bibitem{Smo69}
\by O.~G.~Smolyanov
\paper Measurable linear manifolds in products of linear spaces with measure
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 5
\pages 623--634
\mathnet{http://mi.mathnet.ru/mzm6875}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=254561}
\zmath{https://zbmath.org/?q=an:0207.43903}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 5
\pages 374--379
\crossref{https://doi.org/10.1007/BF01112189}
Linking options:
https://www.mathnet.ru/eng/mzm6875
https://www.mathnet.ru/eng/mzm/v5/i5/p623
This publication is cited in the following 2 articles:
Bogachev V. Smolyanov O., “Topological Vector Spaces and Their Applications”, Topological Vector Spaces and Their Applications, Springer Monographs in Mathematics, Springer, 2017, 1–456
Hiroshi Sato, “An ergodic measure on a locally convex topological vector space”, Journal of Functional Analysis, 43:2 (1981), 149