Sequences of independent identically distributed functions in rearrangement invariant spaces

S. V. Astashkin, and F. A. Sukochev. "Sequences of independent identically distributed functions in rearrangement invariant spaces." Banach Center Publications 79.1 (2008): 27-37. <http://eudml.org/doc/286287>.

@article{S2008,
abstract = {A new set of sufficient conditions under which every sequence of independent identically distributed functions from a rearrangement invariant (r.i.) space on [0,1] spans there a Hilbertian subspace are given. We apply these results to resolve open problems of N. L. Carothers and S. L. Dilworth, and of M. Sh. Braverman, concerning such sequences in concrete r.i. spaces.},
author = {S. V. Astashkin, F. A. Sukochev},
journal = {Banach Center Publications},
keywords = {rearrangement invariant space; i.i.d. sequence},
language = {eng},
number = {1},
pages = {27-37},
title = {Sequences of independent identically distributed functions in rearrangement invariant spaces},
url = {http://eudml.org/doc/286287},
volume = {79},
year = {2008},
}

TY - JOUR
AU - S. V. Astashkin
AU - F. A. Sukochev
TI - Sequences of independent identically distributed functions in rearrangement invariant spaces
JO - Banach Center Publications
PY - 2008
VL - 79
IS - 1
SP - 27
EP - 37
AB - A new set of sufficient conditions under which every sequence of independent identically distributed functions from a rearrangement invariant (r.i.) space on [0,1] spans there a Hilbertian subspace are given. We apply these results to resolve open problems of N. L. Carothers and S. L. Dilworth, and of M. Sh. Braverman, concerning such sequences in concrete r.i. spaces.
LA - eng
KW - rearrangement invariant space; i.i.d. sequence
UR - http://eudml.org/doc/286287
ER -