INVERTIBLE WEIGHTED SHIFT OPERATORS WHICH ARE m-ISOMETRIES

被引：0

作者：

Cho, Muneo ^{[1
]}

Ota, Schoichi ^{[2
]}

Tanahashi, Kotaro ^{[3
]}

机构：

[1] Kanagawa Univ, Dept Math, Yokohama, Kanagawa 2218686, Japan

[2] Kyushu Univ, Dept Content & Creat Design, Fukuoka 8158540, Japan

[3] Tohoku Pharmaceut Univ, Dept Math, Sendai, Miyagi 9818558, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 12期

关键词：

Hilbert space; m-isometry; bilateral weighted shift; HILBERT-SPACE; TRANSFORMATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a bounded linear operator T on a complex Hilbert space H, let Delta(T,m) = Sigma(m)(k=0) (-1)(k) ((m)(k)) T*T-m-k(m-k) for m is an element of N. T is called an m-isometry if Delta(T,m) = 0. In this paper, for every even number m, we give an example of invertible (m + 1)-isometry which is not an m-isometry. Next we show that if T is an m-isometry, then the operator Delta(T,m-1) is not invertible.

引用

页码：4241 / 4247

页数：7

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