Selection of subsystems of random variables equivalent in distribution to the Rademacher system
| dc.creator | Astashkin, S. V. | |
| dc.date | 2000-08-07 | |
| dc.date.accessioned | 2026-07-07T04:36:40Z | |
| dc.date.available | 2026-07-07T04:36:40Z | |
| dc.description | 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 segment [0,1]. In particular, every uniformly bounded orthonormal system has this property. Furthermore, an arbitrary finite uniformly bounded orthonormal set of N functions contains a subset of "logarithmic" density equivalent in distribution to the corresponding set of Rademacher functions, with a constant independent of N. A connection between the tail distribution and the L_p-norms of polynomials with respect to systems of random variables exploited. We use also these results to study K-closed representability of some Banach couples. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0008053 | |
| dc.identifier | http://arxiv.org/abs/math/0008053 | |
| dc.identifier | Matemat. Sbornik, V.191, No.6 (2000), 3-30 (in Russian) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59685 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42A55 (primary), 42A61,46B70 (secondary) | |
| dc.title | Selection of subsystems of random variables equivalent in distribution to the Rademacher system | |
| dc.type | text |