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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-3-5, 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} }
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/