CHARACTERIZATIONS OF ASYMMETRIC TRUNCATED TOEPLITZ OPERATORS

被引：16
|
作者：
Camara, Crisina [1 ]
Jurasik, Joanna [2 ]
Klis-Garlicka, Kamila [3 ]
Ptak, Marek [3 ,4 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Math Dept, Ctr Math Anal Geometry & Dynam Syst, Av Rovisco Pais, P-1049001 Lisbon, Portugal
[2] Marie Curie Sklodowska Univ, Dept Math, PL-20031 Lublin, Poland
[3] Univ Agr, Dept Appl Math, Ul Balicka 253c, PL-30198 Krakow, Poland
[4] Pedagog Univ, Inst Math, Ul Podchorazych 2, PL-30084 Krakow, Poland
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2017年 / 11卷 / 04期
关键词：
model space; truncated Toeplitz operator; kernel functions; conjugation; COMPLEX SYMMETRIC-OPERATORS;
D O I：
10.1215/17358787-2017-0029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to investigate asymmetric truncated Toeplitz operators with L-2-symbols between two different model spaces given by inner functions such that one divides the other. The class of symbols corresponding to the zero operator is described. Asymmetric truncated Toeplitz operators are characterized in terms of operators of rank at most 2, and the relations with the corresponding symbols are studied.
引用
收藏
页码：899 / 922
页数：24
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