Hypercyclic operators on non-locally convex spaces

被引：48
|
作者：
Wengenroth, J [1 ]
机构：
[1] Univ Trier, FB Math 4, D-54286 Trier, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 06期
关键词：
hypercyclic operators; supercyclic operators; multi-hypercyclic operators;
D O I：
10.1090/S0002-9939-03-07003-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We transfer a number of fundamental results about hypercyclic operators on locally convex spaces (due to Ansari, Bes, Bourdon, Costakis, Feldman, and Peris) to the non-locally convex situation. This answers a problem posed by A. Peris [Multi-hypercyclic operators are hypercyclic, Math. Z. 236 (2001), 779-786].
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页码：1759 / 1761
页数：3
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