HYPERCYCLICITY AND SUPERCYCLICITY OF m-ISOMETRIC OPERATORS

被引：18

作者：

Ahmadi, M. Faghih ^{[1
]}

Hedayatian, K. ^{[1
]}

机构：

[1] Shiraz Univ, Dept Math, Coll Sci, Shiraz 71454, Iran

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2012年 / 42卷 / 01期

关键词：

Supercyclic operators; hypercyclic operators; m-isometries; TRANSFORMATIONS;

D O I：

10.1216/RMJ-2012-42-1-15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An operator T defined on a Hilbert space 74, satisfying the equation Sigma(m)(k=0)(-1)(k) ((m)(k)) T*T-m-k(m-k) = 0, is called an m-isometry. In this paper, we prove that the orbits of vectors under m-isometries are eventually norm increasing. Also, it is shown that power bounded m-isometries are, in fact, isometries. Moreover, we show that all m-isometries are neither supercyclic nor weakly hypercyclic.

引用

页码：15 / 23

页数：9

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