Structure of Rademacher subspaces in Cesàro type spaces

Sergey V. Astashkin, and Lech Maligranda. "Structure of Rademacher subspaces in Cesàro type spaces." Studia Mathematica 226.3 (2015): 259-279. <http://eudml.org/doc/285407>.

@article{SergeyV2015,
abstract = {The structure of the closed linear span of the Rademacher functions in the Cesàro space $Ces_\{∞\}$ is investigated. It is shown that every infinite-dimensional subspace of either is isomorphic to l₂ and uncomplemented in $Ces_\{∞\}$, or contains a subspace isomorphic to c₀ and complemented in . The situation is rather different in the p-convexification of $Ces_\{∞\} $ if 1 < p < ∞.},
author = {Sergey V. Astashkin, Lech Maligranda},
journal = {Studia Mathematica},
keywords = {Rademacher functions; Cesàro function spac; Korenblyum-Krein-Levin space; subspaces; complemented subspaces},
language = {eng},
number = {3},
pages = {259-279},
title = {Structure of Rademacher subspaces in Cesàro type spaces},
url = {http://eudml.org/doc/285407},
volume = {226},
year = {2015},
}

TY - JOUR
AU - Sergey V. Astashkin
AU - Lech Maligranda
TI - Structure of Rademacher subspaces in Cesàro type spaces
JO - Studia Mathematica
PY - 2015
VL - 226
IS - 3
SP - 259
EP - 279
AB - The structure of the closed linear span of the Rademacher functions in the Cesàro space $Ces_{∞}$ is investigated. It is shown that every infinite-dimensional subspace of either is isomorphic to l₂ and uncomplemented in $Ces_{∞}$, or contains a subspace isomorphic to c₀ and complemented in . The situation is rather different in the p-convexification of $Ces_{∞} $ if 1 < p < ∞.
LA - eng
KW - Rademacher functions; Cesàro function spac; Korenblyum-Krein-Levin space; subspaces; complemented subspaces
UR - http://eudml.org/doc/285407
ER -