A Lifting Theorem for Locally Convex Subspaces of Lo

Details A Lifting Theorem for Locally Convex Subspaces of Lo A Lifting Theorem for Locally Convex Subspaces of Lo

1995-04-13

arxiv.org/abs/math/9504204v1

Mathematics

Functional Analysis

Scientific paper

We prove that for every closed locally convex subspace $E$ of $L_0$ and for
any continuous linear operator $T$ from $L_0$ to $L_0/E$ there is a continuous
linear operator $S$ from $L_0$ to $L_0$ such that $T = QS$ where $Q$ is the
quotient map from $L_0$ to $L_0/E$.

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