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

Volume 54 / 2006

Félix Cabello Sánchez 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.

Authors

  • Félix Cabello SánchezDepartamento de Matemáticas
    Universidad de Extremadura
    Avenida de Elvas
    06071 Badajoz, Spain
    e-mail

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