Abstract
An operator (Formula presented.) is said to be (m, C)-isometric if there exists a conjugation C such that (Formula presented.) for some positive integer m. In this paper, we study (m, C)-isometric Toeplitz operators T φ with rational symbols φ. We characterize (m, C)-isometric Toeplitz operators T φ by properties of the rational symbols φ. Moreover, we provide a concrete description of the (Formula presented.) -isometric block Toeplitz operators.
Original language | English |
---|---|
Pages (from-to) | 4360-4376 |
Number of pages | 17 |
Journal | Linear and Multilinear Algebra |
Volume | 70 |
Issue number | 19 |
DOIs | |
State | Published - 2022 |
Bibliographical note
Publisher Copyright:© 2021 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- (m, C)-isometric operators
- Toeplitz operators
- block Toeplitz operators