4 papers · 1 filter
Selection of subsystems of random variables equivalent in distribution to the Rademacher system
S. V. Astashkin
We present necessary and sufficient conditions on systems of random variables for them to possess a lacunary subsystem equivalent in distribution to the Rademacher system on the se…
About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system
S. V. Astashkin
The Rademacher series in rearrangement invariant function spaces "closed" to the space L_\infty are considered. In terms of interpolation theory of operators a correspondence betwe…
Rademacher chaos in symmetric spaces,2
S. V. Astashkin
It is shown that a specific ordering of the Rademacher chaos leads to a basic sequence in a wide class of symmetric spaces on the segment [0,1]. Necessary and sufficient conditions…
Rademacher chaos in symmetric spaces
S. V. Astashkin
Necessary and sufficient conditions for the equivalence of the Rademacher chaos to the canonical basis of l_2 and also for the complementability of the corresponding generated subs…