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2021 A difference of two composition operators on an analytic banach space
Yôsuke Hishikawa, Takahiko Nakazi, Masahiro Yamada
Author Affiliations +
Nihonkai Math. J. 32(2): 107-110 (2021).

Abstract

A finite rank difference of two composition operators is studied on an analytic Banach space B on a domain D of the complex plane. It is shown that the rank is either zero or one when D is a bounded domain and B contains all bounded analytic functions on D.

Funding Statement

This work is based on research 16K05198 supported by Grant-in-Aid for Scientific Research (C) from Japan Society for the Promotion of Science.

Acknowledgments

The authors wish to thank the referee for specific suggestions on earlier version of this paper.

Citation

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Yôsuke Hishikawa. Takahiko Nakazi. Masahiro Yamada. "A difference of two composition operators on an analytic banach space." Nihonkai Math. J. 32 (2) 107 - 110, 2021.

Information

Received: 12 November 2020; Revised: 24 September 2021; Published: 2021
First available in Project Euclid: 3 May 2022

Subjects:
Primary: 47B33
Secondary: 47B38

Keywords: Analytic function , Banach space , Composition operator

Rights: Copyright © 2021 Niigata University, Department of Mathematics

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Vol.32 • No. 2 • 2021
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