Reducibility and unitary equivalence for a class of truncated Toeplitz operators on model spaces
Release Time:2019-03-12 Hits:
Indexed by: Journal Article
Date of Publication: 2018-01-01
Journal: NEW YORK JOURNAL OF MATHEMATICS
Included Journals: SCIE
Volume: 24
Page Number: 929-946
ISSN: 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.