A Lifting Theorem for Locally Convex Subspaces of Lo

1995/04/13 by Rick G. Faber, Faber, Rick G.
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Functional Analysis (math.FA) #Limits and Structures in Graph Theory #Point processes and geometric inequalities #math.FA

paper · pdf · doi:10.48550/arxiv.math/9504204

arxiv created 1995/04/13 · openalex publication_date 1995/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for every closed locally convex subspace E of L₀ and for any continuous linear operator T from L₀ to L₀/E there is a continuous linear operator S from L₀ to L₀ such that T = QS where Q is the quotient map from L₀ to L₀/E.

Citations

• On some series of functions, (1)

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