Topological structure of the space of composition operators on the Hardy space of Dirichlet series

The aim of this paper is to study when two composition operators on the Hilbert space of Dirichlet series with square summable coefficients belong to the same component or when their difference is compact. As a corollary we show that if a linear combination of composition operators with polynomial s...

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Bibliographic Details
Published in:	Journal of functional analysis Vol. 289; no. 11; p. 111134
Main Authors:	Bayart, Frédéric, Wang, Maofa, Yao, Xingxing
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.12.2025 Elsevier
Subjects:	Composition operator Dirichlet series Functional Analysis Linear combination Mathematics Topological structure secondary Topological structure Dirichlet series Linear combination Composition operator primary 2010 Mathematics Subject Classification. Primary 47B33 topological structure Secondary 30B50 linear combination compactness 46E15 Composition operator
ISSN:	0022-1236, 1096-0783
Online Access:	Get full text
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