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Indexed by:期刊论文

Date of Publication:2018-01-01

Journal:NEW YORK JOURNAL OF MATHEMATICS

Included Journals:SCIE

Volume:24

Page Number:929-946

ISSN No.:1076-9803

Key Words:Reducing subspace; truncated Toeplitz operator; model space; unitary equivalence

Abstract:In this paper we give a necessary and sufficient condition for the reducibility of a truncated Toeplitz operator on model spaces induced by a Blaschke product with two zeros. If the truncated Toeplitz operator is reducible, its restriction on a non-trivial reducing subspace is unitarily equivalent to another truncated Toeplitz operator induced by z.