Unitary sequences and classes of barrelledness.

López Pellicer, Manuel, and Moll, Salvador. "Unitary sequences and classes of barrelledness.." RACSAM 97.3 (2003): 367-376. <http://eudml.org/doc/40989>.

@article{LópezPellicer2003,
abstract = {It is well known that some dense subspaces of a barrelled space could be not barrelled. Here we prove that dense subspaces of l∞ (Ω, X) are barrelled (unordered Baire-like or p?barrelled) spaces if they have ?enough? subspaces with the considered barrelledness property and if the normed space X has this barrelledness property.These dense subspaces are used in measure theory and its barrelledness is related with some sequences of unitary vectors.},
author = {López Pellicer, Manuel, Moll, Salvador},
journal = {RACSAM},
keywords = {Espacios lineales topológicos; Espacio tonelado; Disco de Banach; Espacios de Baire; Espacio bornológico; -barrelled spaces; dense barrelled subspaces; unordered Baire-like spaces; function spaces},
language = {eng},
number = {3},
pages = {367-376},
title = {Unitary sequences and classes of barrelledness.},
url = {http://eudml.org/doc/40989},
volume = {97},
year = {2003},
}

TY - JOUR
AU - López Pellicer, Manuel
AU - Moll, Salvador
TI - Unitary sequences and classes of barrelledness.
JO - RACSAM
PY - 2003
VL - 97
IS - 3
SP - 367
EP - 376
AB - It is well known that some dense subspaces of a barrelled space could be not barrelled. Here we prove that dense subspaces of l∞ (Ω, X) are barrelled (unordered Baire-like or p?barrelled) spaces if they have ?enough? subspaces with the considered barrelledness property and if the normed space X has this barrelledness property.These dense subspaces are used in measure theory and its barrelledness is related with some sequences of unitary vectors.
LA - eng
KW - Espacios lineales topológicos; Espacio tonelado; Disco de Banach; Espacios de Baire; Espacio bornológico; -barrelled spaces; dense barrelled subspaces; unordered Baire-like spaces; function spaces
UR - http://eudml.org/doc/40989
ER -