Asymptotically orthonormal basis and Toeplitz operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Fricain, Emmanuel¹  Rupam, Rishika¹ 

[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France

关键词: Model spaces;    Toeplitz operators;    Basis;   

DOI  :  10.1016/j.jmaa.2019.01.081

来源: Elsevier

【 摘 要 】

Recently, M. Mitkovski [13] gave a criterion for basicity of a sequence of complex exponentials in terms of the invertibility properties of a certain naturally associated Toeplitz operator, in the spirit of work of Khrushchey-Nikolski- Pavlov [9]. In our paper, we extend the results of Mitkovski to model spaces associated with meromorphicinner functions and we also give an analogue for the property of being an asymptotically orthonormal basis. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free