Universal and chaotic multipliers on spaces of operators

被引：51
|
作者：
Bonet, J [1 ]
Martínez-Giménez, F
Peris, A
机构：
[1] Univ Politecn Valencia, ETS Arquitectura, Dept Matemat Aplicada, E-46071 Valencia, Spain
[2] Univ Politecn Valencia, ETS Arquitectura, Dept Matemat Aplicada, E-46071 Valencia, Spain
[3] Univ Politecn Valencia, ETSI Agron, Dept Matemat Aplicada, E-46071 Valencia, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 297卷 / 02期
关键词：
hypercyclic vectors; multipliers on Banach algebras; chaotic dynamics; universality; Frechet spaces; (DF)-spaces;
D O I：
10.1016/j.jmaa.2004.03.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use tensor product techniques to study universality, hypercyclicity and chaos of multipliers defined on operator ideals and of multiplication operators on the space of all continuous and linear operators, thus continuing the work of Kit Chan. We also obtain the first examples of outer multipliers on a Banach algebra which are chaotic in the sense of Devaney, and prove sufficient conditions for the existence of closed subspaces of universal vectors for operators between Frechet spaces. (C) 2004 Elsevier Inc. All rights reserved.
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页码：599 / 611
页数：13
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