Topological transitivity of the normalized maps induced by linear operators

被引：1
|
作者：
Mandal, Pabitra Narayan [1 ]
机构：
[1] Univ Hyderabad, Sch Math & Stat, Hyderabad 500046, India
来源：
APPLIED GENERAL TOPOLOGY | 2022年 / 23卷 / 01期
关键词：
topological transitivity; supercyclicity; projective transformation; linear transformation; cone transitivity;
D O I：
10.4995/agt.2022.15613
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we provide a simple geometric proof of the following fact: The existence of topologically transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result holds for projective transformation as well.
引用
收藏
页码：135 / 143
页数：9
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