Automatic continuity and weighted composition operators between spaces of vector-valued differentiable functions

2000/12/20 by Jesús Araujo, Jesus Araujo, Araujo, Jesus
Computer Science · Decision Sciences · Mathematics · #46E25 (Secondary) #46E40 #47B33 (Primary) 46H40 #47B38 #Advanced Algebra and Logic #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Rings, Modules, and Algebras #math.FA #msc:46E25 #msc:46E40 #msc:46H40 #msc:47B33 #msc:47B38

paper · pdf · doi:10.48550/arxiv.math/0012205

25 pages (AMS LaTeX). No figures. Changes with respect to the first version: one reference added and changes in the introduction

openalex publication_date 2000/12/20 · arxiv created 2001/01/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved that every linear biseparating map between spaces of vector-valued differentiable functions is a weighted composition map. As a consequence, such a map is always continuous.

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