m-isometries on Banach spaces

被引：66
|
作者：
Bayart, Frederic [1 ,2 ]
机构：
[1] Clermont Univ, Univ Blaise Pascal, Math Lab, F-63000 Clermont Ferrand, France
[2] CNRS, UMB 6620, Math Lab, F-63177 Aubiere, France
来源：
MATHEMATISCHE NACHRICHTEN | 2011年 / 284卷 / 17-18期
关键词：
Supercyclic operators; m-isometry; N-SUPERCYCLIC OPERATORS; HILBERT-SPACE; TRANSFORMATIONS;
D O I：
10.1002/mana.200910029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of an m-isometry of a Banach space, following a definition of Agler and Stankus in the Hilbert space setting. We give a first approach to the general theory of these maps. Then, we focus on the dynamics of m-isometries, showing that they are never N-supercyclic. This result is new even on a Hilbert space, and even for isometries on a general Banach space.
引用
收藏
页码：2141 / 2147
页数：7
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