On operators close to isometries

被引：20
|
作者：
Chavan, Sameer [1 ]
机构：
[1] Indian Inst Sci Educ & Res, Pune 411008, Maharashtra, India
来源：
STUDIA MATHEMATICA | 2008年 / 186卷 / 03期
关键词：
hyponormal; hyperexpansive; hypercyclicity; p-isometric; wandering subspace;
D O I：
10.4064/sm186-3-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of p-isometries and of hyperexpansive operators.
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页码：275 / 293
页数：19
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