A Lifting Result for Locally Pseudo-Convex Subspaces of $L_0$
Volume 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 231–236
MSC: 46M18, 46A16, 46A22.
DOI: 10.4064/ba54-3-5
Abstract
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.
