A new constructive version of Baire's theorem is given and then applied to two problems in functional analysis. The second of these applications provides a new proof that compactly generated Banach spaces are finite dimensional.
Publié le : 2006-02-15
Classification:
Constructive,
Baire,
open mapping,
compactly generated,
46S30
@article{1285766300,
author = {BRIDGES, Douglas and ISHIHARA, Hajime and V\^{I}\C{T}\U{A}, Lumini\c{t}a},
title = {A new constructive version of Baire's theorem},
journal = {Hokkaido Math. J.},
volume = {35},
number = {1},
year = {2006},
pages = { 107-118},
language = {en},
url = {http://dml.mathdoc.fr/item/1285766300}
}
BRIDGES, Douglas; ISHIHARA, Hajime; V\^{I}\C{T}\U{A}, Lumini\c{t}a. A new constructive version of Baire's theorem. Hokkaido Math. J., Tome 35 (2006) no. 1, pp. 107-118. http://gdmltest.u-ga.fr/item/1285766300/