Universality and chaos for tensor products of operators

被引：30
作者：
Martínez-Giménez, F
Peris, A [1 ]
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, ETS Arquitectura, E-46071 Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, ETSI Agron, E-46071 Valencia, Spain
来源：
JOURNAL OF APPROXIMATION THEORY | 2003年 / 124卷 / 01期
关键词：
universality; hypercyclic vectors; tensor products of operators; chaotic dynamics;
D O I：
10.1016/S0021-9045(03)00118-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions for the universality of tensor products {T-n(⊗) over tilde R-n : n is an element of N} of sequences of operators defined on Frechet spaces. in particular we study when the tensor product T (⊗) over tildeR of two operators is chaotic in the sense of Devaney. Applications are given for natural operators on function spaces of several variables, in Infinite Holomorphy, and for multiplication operators on the algebra L(E) following the study of Kit Chan. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：7 / 24
页数：18
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