Strict u-ideals in Banach spaces

Vegard Lima, and Åsvald Lima. "Strict u-ideals in Banach spaces." Studia Mathematica 195.3 (2009): 275-285. <http://eudml.org/doc/284886>.

@article{VegardLima2009,
abstract = {We study strict u-ideals in Banach spaces. A Banach space X is a strict u-ideal in its bidual when the canonical decomposition $X*** = X* ⊕ X^\{⊥\}$ is unconditional. We characterize Banach spaces which are strict u-ideals in their bidual and show that if X is a strict u-ideal in a Banach space Y then X contains c₀. We also show that $ℓ_\{∞\}$ is not a u-ideal.},
author = {Vegard Lima, Åsvald Lima},
journal = {Studia Mathematica},
keywords = {strict u-ideal; u-summand},
language = {eng},
number = {3},
pages = {275-285},
title = {Strict u-ideals in Banach spaces},
url = {http://eudml.org/doc/284886},
volume = {195},
year = {2009},
}

TY - JOUR
AU - Vegard Lima
AU - Åsvald Lima
TI - Strict u-ideals in Banach spaces
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 3
SP - 275
EP - 285
AB - We study strict u-ideals in Banach spaces. A Banach space X is a strict u-ideal in its bidual when the canonical decomposition $X*** = X* ⊕ X^{⊥}$ is unconditional. We characterize Banach spaces which are strict u-ideals in their bidual and show that if X is a strict u-ideal in a Banach space Y then X contains c₀. We also show that $ℓ_{∞}$ is not a u-ideal.
LA - eng
KW - strict u-ideal; u-summand
UR - http://eudml.org/doc/284886
ER -