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].

引用

页码：1759 / 1761

页数：3

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