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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 55, Pages 3–14 (Mi znsl2838)  
On Hilbert subspaces of $l_p$-spaces having full measure

B. Diallo
Full-text PDF (736 kB)
Abstract: In the space $l_p$, $1\leq p\leq2$, every probabilistic measure is concentated on some Hilbert subspace. In case $p>2$ there exist measures for which no Hilbert subspace has positive measure.
English version:
Journal of Soviet Mathematics, 1981, Volume 16, Issue 2, Pages 917–925
DOI: https://doi.org/10.1007/BF01676136
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: B. Diallo, “On Hilbert subspaces of $l_p$-spaces having full measure”, Problems of the theory of probability distributions. Part 3, Zap. Nauchn. Sem. LOMI, 55, "Nauka", Leningrad. Otdel., Leningrad, 1976, 3–14; J. Soviet Math., 16:2 (1981), 917–925
Citation in format AMSBIB
\Bibitem{Dia76}
\by B.~Diallo
\paper On Hilbert subspaces of $l_p$-spaces having full measure
\inbook Problems of the theory of probability distributions. Part~3
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 55
\pages 3--14
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2838}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410824}
\zmath{https://zbmath.org/?q=an:0352.60006|0462.60003}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 2
\pages 917--925
\crossref{https://doi.org/10.1007/BF01676136}
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  • https://www.mathnet.ru/eng/znsl/v55/p3
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