Which hyponormal block Toeplitz operators are either normal or analytic?

Autor: Zhu, Senhua, Lu, Yufeng, Zu, Chao
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we continue Curto-Hwang-Lee's work to study the connection between hyponormality and subnormality for block Toeplitz operators acting on the vector-valued Hardy space of the unit circle.Curto-Hwang-Lee's work focuses primarily on hyponormality and subnormality of block Toeplitz operators with rational symbols. By studying the "weak" commutativity, we extend Curto-Hwang-Lee's result to block Toeplitz operators with symbols of bounded type.
Comment: arXiv admin note: text overlap with arXiv:1201.5976 by other authors
Databáze: arXiv