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2014 Some Remarks on Operator Equation $C_{\varphi}=C_{\psi}X$
Takuya Hosokawa, Michio Seto
Nihonkai Math. J. 25(2): 85-91 (2014).

Abstract

We discuss linear equations whose coefficients are bounded composition operators on the Hardy space over the unit disk. Some connections between those equations, Pick interpolation and de Branges-Rovnyak spaces are studied in detail.

Citation

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Takuya Hosokawa. Michio Seto. "Some Remarks on Operator Equation $C_{\varphi}=C_{\psi}X$." Nihonkai Math. J. 25 (2) 85 - 91, 2014.

Information

Published: 2014
First available in Project Euclid: 26 March 2015

zbMATH: 1311.47018
MathSciNet: MR3326628

Keywords: Composition operators , de Branges-Rovnyak spaces , Pick interpolation

Rights: Copyright © 2014 Niigata University, Department of Mathematics

Vol.25 • No. 2 • 2014
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