A Lifting Result for Locally Pseudo-Convex Subspaces of L₀
Félix Cabello Sánchez
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 231-236 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280612
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     author = {F\'elix Cabello S\'anchez},
     title = {A Lifting Result for Locally Pseudo-Convex Subspaces of L0},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {54},
     year = {2006},
     pages = {231-236},
     zbl = {1111.46054},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-3-5}
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Félix Cabello Sánchez. A Lifting Result for Locally Pseudo-Convex Subspaces of L₀. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 231-236. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-3-5/