Indexed by:
Journal Papers
First Author:
Li, Yufei
Correspondence Author:
Yang, YX (corresponding author), Dalian Univ Technol, Dept Math Sci, Dalian 116024, Liaoning, Peoples R China.
Co-author:
Yang, Yixin,Lu, Yufeng
Date of Publication:
2020-07-24
Journal:
COMPLEX ANALYSIS AND OPERATOR THEORY
Included Journals:
SCIE
Document Type:
J
Volume:
14
Issue:
6
ISSN No.:
1661-8254
Key Words:
Reducibility; Truncated Toeplitz operator; Model space
Abstract:
Let T be a contraction on the Hilbert space H and S a minimal isometric dilation of T. In this paper, we show that every projection in {T}' can be extended to a projection in {S}'. Using this result, a sufficient condition for reducibility of A(Bn)theta, where B-n is a finite Blaschke product with order n, is given. In particular, we determine when A(Bn)(theta) is reducible in two special cases. One case is that n = 2, 3 and the other case is that B-n = z(n) (n is an element of N) and theta is a singular inner function.
Translation or Not:
no
