Characterizations of derivations on spaces of smooth functions

2022/10/24 by Włodzimierz Fechner, Fechner, Włodzimierz, Aleksandra Świątczak +1
Mathematics · #39B4 #39B72 #39B82 #47B47 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2210.13035

openalex publication_date 2022/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a list of equivalent conditions under which an additive operator acting on a space of smooth functions on a compact real interval is a multiple of the derivation.

Related

• Characterization of derivations through their actions on certain elementary functions
• On additive functions with additional derivation properties
• Characterizations of derivations
• Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space
• Notes on the characterization of derivations