(m, C)-Isometric Toeplitz operators with rational symbols

被引：0
|
作者：
Ko, Eungil [1 ]
Lee, Ji Eun [2 ]
Lee, Jongrak [3 ]
机构：
[1] Ewha Womans Univ, Dept Math, Seoul, South Korea
[2] Sejong Univ, Dept Math & Stat, Seoul, South Korea
[3] Jeju Natl Univ, Dept Math, Jeju 63243, South Korea
来源：
LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 19期
基金：
新加坡国家研究基金会;
关键词：
(m; C)-isometric operators; Toeplitz operators; block Toeplitz operators;
D O I：
10.1080/03081087.2021.1878997
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An operator T is an element of L(H) is said to be (m, C)-isometric if there exists a conjugation C such that Sigma(m)(j=0) (-1)(m-j) ((m)(j))T*(CTC)-C-j-C-j = 0 for some positive integer m. In this paper, we study (m, C)-isometric Toeplitz operators T-phi with rational symbols phi. We characterize (m, C)-isometric Toeplitz operators T-phi by properties of the rational symbols phi. Moreover, we provide a concrete description of the (m, C)-isometric block Toeplitz operators.
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页码：4360 / 4376
页数：17
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