Subspaces of symmetric spaces, generated by independent random variables

DOI10.1007/BF00968975zbMath0582.46030OpenAlexW1998783205MaRDI QIDQ1069103

Michael Braverman, Igor Ya. Novikov

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968975

zbMATH Keywords

symmetric spacesmathematical expectationsequence of random variablesBanach space of random variablesclosure of spans of random variablesequimeasurable distributionRademacher systemsspaces isomorphic to \(\ell _ 2\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical Banach spaces in the general theory (46B25)

Cites Work

• Complementability of the subspace generated by the Rademacher system in a symmetric space
• Rademacher series in symmetric spaces
• Bicontinuous linear transformations in certain vector spaces
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