4.3 Article

Some properties of composition operators on Hilbert spaces of Dirichlet series

Journal

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Volume 60, Issue 7, Pages 992-1004

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/17476933.2014.988617

Keywords

Hilbert space of Dirichlet series; cyclicity; composition operator; hypercyclicity; spectrum; Secondary 30D55; Primary 47B33; 46E15

Categories

Funding

  1. National Science Foundation of China (NSFC) [11271293]

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In this paper, we study some properties of composition operators on Hilbert spaces of Dirichlet series, which include the Fredholmness, Hilbert-Schmidtness, spectra, cyclic and hypercyclic phenomenons, and also answer a norm question raised by Cowen and MacCluer.

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