Shift invariant subspaces of composition operators.

Jones, Matthew ORCID logoORCID: (2005) Shift invariant subspaces of composition operators. Archiv der Mathematik, 84 (3) . pp. 258-267. ISSN 1420-8938 [Article] (doi:10.1007/s00013-004-1017-z)


Let C denote the composition operator defined on the standard Hardy spaces Hp as where is an analytic self-map of the unit disk in the complex plane. In this paper we discuss those invariant subspaces of C in Hp which are invariant under the shift operator, We restrict our attention to the case where is an inner function. Our main result characterises these invariant subspaces. We also consider C when restricted to such an invariant subspace and we describe the structure of the operator and find a formula for the essential spectral radius.

Item Type: Article
Research Areas: A. > Business School > Economics
A. > School of Science and Technology > Design Engineering and Mathematics
ISI Impact: 2
Item ID: 633
Useful Links:
Depositing User: Repository team
Date Deposited: 02 Dec 2008 17:31
Last Modified: 13 Oct 2016 14:12

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