Duality of Bochner spaces

2018/01/27 by Seppo I. Hiltunen, Hiltunen, Seppo I.
Mathematics · #28B05 #28C20 (Secondary) #46A16 #46A20 #46E30 (Primary) 28A20 #46E40 #46G10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1801.09059

openalex publication_date 2018/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the generalized Lebesgue--Bochner spaces L^p(μ,\varPi) for positive measures μ and for suitable real or complex topological vector spaces \varPi so that for 1

Citations

• Seip's differentiability concepts as a particular case of the Bertram--Gloeckner--Neeb construction
• The Frolicher--Kriegl differentiabilities as a particular case of the Bertram--Glockner--Neeb construction

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