# Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

## A Lifting Result for Locally Pseudo-Convex Subspaces of $L_0$

### 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.

#### Autorzy

• Félix Cabello SánchezDepartamento de Matemáticas