ON m-ISOMETRIC TOEPLITZ OPERATORS

被引：7
|
作者：
Ko, Eungil [1 ]
Lee, Jongrak [2 ]
机构：
[1] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
[2] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
m-isometric operators; expansive operators; contractive operators; Toeplitz operators; HILBERT-SPACE; TRANSFORMATIONS;
D O I：
10.4134/BKMS.b170025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study m-isometric Toeplitz operators T-phi with rational symbols. We characterize m-isometric Toeplitz operators T-phi by properties of the rational symbols phi. In addition, we give a necessary and sufficient condition for Toeplitz operators T-phi with analytic symbols phi to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators T-phi with trigonometric polynomial symbols phi.
引用
收藏
页码：367 / 378
页数：12
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