A Lifting Result for Locally Pseudo-Convex Subspaces of
Tom 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 231–236
MSC: 46M18, 46A16, 46A22.
DOI: 10.4064/ba54-3-5
Streszczenie
It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F//E=L_0 then E is complemented in F and so F=E\oplus L_0. This generalizes results by Kalton and Peck and Faber.