Rademacher functions in BMO

Sergey V. Astashkin, Mikhail Leibov, and Lech Maligranda. "Rademacher functions in BMO." Studia Mathematica 205.1 (2011): 83-100. <http://eudml.org/doc/285925>.

@article{SergeyV2011,
abstract = {The Rademacher sums are investigated in the BMO space on [0,1]. They span an uncomplemented subspace, in contrast to the dyadic $BMO_\{d\}$ space on [0,1], where they span a complemented subspace isomorphic to l₂. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in BMO are studied and an analog of the Kadec-Pełczyński type alternative with l₂ and c₀ spaces is proved.},
author = {Sergey V. Astashkin, Mikhail Leibov, Lech Maligranda},
journal = {Studia Mathematica},
keywords = {Rademacher functions; BMO space; dyadic BMO space; subspaces; complemented subspaces},
language = {eng},
number = {1},
pages = {83-100},
title = {Rademacher functions in BMO},
url = {http://eudml.org/doc/285925},
volume = {205},
year = {2011},
}

TY - JOUR
AU - Sergey V. Astashkin
AU - Mikhail Leibov
AU - Lech Maligranda
TI - Rademacher functions in BMO
JO - Studia Mathematica
PY - 2011
VL - 205
IS - 1
SP - 83
EP - 100
AB - The Rademacher sums are investigated in the BMO space on [0,1]. They span an uncomplemented subspace, in contrast to the dyadic $BMO_{d}$ space on [0,1], where they span a complemented subspace isomorphic to l₂. Moreover, structural properties of infinite-dimensional closed subspaces of the span of the Rademacher functions in BMO are studied and an analog of the Kadec-Pełczyński type alternative with l₂ and c₀ spaces is proved.
LA - eng
KW - Rademacher functions; BMO space; dyadic BMO space; subspaces; complemented subspaces
UR - http://eudml.org/doc/285925
ER -