Abstract
We consider locally defined operators of the form $D^{n}\circ K$ where $D$ is the operator of differentiation and $K$ maps the space of continuous functions into the space of $n$-times\ differentiable functions. As a corollary we obtain a characterization of the Volterra operator. Locally defined operators acting in the space of analytic functions are also discussed.
Citation
Janusz Matkowski. "Local operators and a characterization of the Volterra operator." Ann. Funct. Anal. 1 (1) 36 - 40, 2010. https://doi.org/10.15352/afa/1399900990
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