Faber, R. G. A lifting theorem for locally convex subspaces of \(L_ 0\). (English) Zbl 0829.46054 Stud. Math. 115, No. 1, 73-85 (1995). Summary: 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 \(L_0/E\). Cited in 1 Review MSC: 46M10 Projective and injective objects in functional analysis 46G15 Functional analytic lifting theory 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Keywords:lifting theorem PDFBibTeX XMLCite \textit{R. G. Faber}, Stud. Math. 115, No. 1, 73--85 (1995; Zbl 0829.46054) Full Text: DOI arXiv EuDML