Characterizations of derivations on spaces of smooth functions

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.

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Vydané v:Aequationes mathematicae Ročník 97; číslo 4; s. 777 - 786
Hlavní autori: Fechner, Włodzimierz, Świątczak, Aleksandra
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.08.2023
Springer Nature B.V
Predmet:
Analysis
Combinatorics
Mathematics
Mathematics and Statistics
Secondary: 39B72
Derivations
47B47
Primary: 39B42
Smooth functions
39B82
ISSN:0001-9054, 1420-8903
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Shrnutí: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.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-022-00934-x