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A lifting theorem for locally convex subspaces of $L_{0}$

R. Faber (1995)

Studia Mathematica

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 $L_{0} / E$ .

A Measure Space Without the Strong Lifting Property.

V. Losert (1979)

Mathematische Annalen

A note on almost strong liftings

C. Ionescu-Tulcea, R. Maher (1971)

Annales de l'institut Fourier

Let $X$ be a locally compact space. A lifting $ρ$ of $M_{R}^{\infty} (X, μ)$ where $μ$ is a positive measure on $X$ , is almost strong if for each bounded, continuous function $f$ , $ρ (f)$ and $f$ coincide locally almost everywhere. We prove here that the set of all measures $μ$ on $X$ such that there exists an almost strong lifting of $M_{R}^{\infty} (X, | μ |)$ is a band.

Displaying 1 – 8 of 8

A lifting theorem for locally convex subspaces of $L_{0}$

A Measure Space Without the Strong Lifting Property.

A note on almost strong liftings

A Reduction of the Strong Lifting Problem.

A Semigroup Structure in the Space of Liftings.

A Weak Existence Theorem and Weak Permanence Properties for Strong Liftings.

An Elementary Characterization of Absolutely Summing Operators.

Application de l'existence d'un relèvement à un théorème sur la désintégration des mesures

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