English

Characterizations of derivations on spaces of smooth functions

Functional Analysis 2022-10-25 v1 Classical Analysis and ODEs

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.

Keywords

Cite

@article{arxiv.2210.13035,
  title  = {Characterizations of derivations on spaces of smooth functions},
  author = {Włodzimierz Fechner and Aleksandra Świątczak},
  journal= {arXiv preprint arXiv:2210.13035},
  year   = {2022}
}