A Szego type theorem for truncated Toeplitz operators

JOURNAL OF APPROXIMATION THEORY

卷:220

Article

Strouse, Elizabeth¹  Timotin, Dan²  Zarrabi, Mohamed¹ 

[1] Univ Bordeaux, Inst Math Bordeaux, UMR 5251, 351 Cours Liberat, F-33405 Talence, France

[2] Romanian Acad, Inst Math, POB 1-764, Bucharest 014700, Romania

关键词: Model spaces;    Truncated Toeplitz operators;    Szego Theorem;   

DOI  :  10.1016/j.jat.2017.04.005

来源: Elsevier

【 摘 要 】

Truncated Toeplitz operators are compressions of multiplication operators on L-2 to model spaces (that is, subspaces of H-2 which are invariant with respect to the backward shift). For this class of operators we prove certain Szego type theorems concerning the asymptotics of their compressions to an increasing chain of finite dimensional model spaces. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free