A Lifting Result for Locally Pseudo-Convex Subspaces of L₀

Félix Cabello Sánchez. "A Lifting Result for Locally Pseudo-Convex Subspaces of L₀." Bulletin of the Polish Academy of Sciences. Mathematics 54.3 (2006): 231-236. <http://eudml.org/doc/280612>.

@article{FélixCabelloSánchez2006,
abstract = {It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F/E = L₀ then E is complemented in F and so F = E⊕ L₀. This generalizes results by Kalton and Peck and Faber.},
author = {Félix Cabello Sánchez},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {space of measurable functions; lifting; extension; pull-back; push-out},
language = {eng},
number = {3},
pages = {231-236},
title = {A Lifting Result for Locally Pseudo-Convex Subspaces of L₀},
url = {http://eudml.org/doc/280612},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Félix Cabello Sánchez
TI - A Lifting Result for Locally Pseudo-Convex Subspaces of L₀
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 3
SP - 231
EP - 236
AB - It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F/E = L₀ then E is complemented in F and so F = E⊕ L₀. This generalizes results by Kalton and Peck and Faber.
LA - eng
KW - space of measurable functions; lifting; extension; pull-back; push-out
UR - http://eudml.org/doc/280612
ER -