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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Bibliographic Details
Published in:Aequationes mathematicae Vol. 97; no. 4; pp. 777 - 786
Main Authors: Fechner, Włodzimierz, Świątczak, Aleksandra
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.08.2023
Springer Nature B.V
Subjects:
Analysis
Combinatorics
Mathematics
Mathematics and Statistics
Secondary: 39B72
Derivations
47B47
Primary: 39B42
Smooth functions
39B82
ISSN:0001-9054, 1420-8903
Online Access:Get full text
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Description
Summary: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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SourceType-Scholarly Journals-1
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content type line 14
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-022-00934-x