Chaos for linear fractional transformations of shifts

被引：1
|
作者：
Jimenez-Munguia, Ronald R. [1 ]
Galan, Victor J. [2 ]
Martinez-Gimenez, Felix [3 ]
Peris, Alfredo [3 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
[2] Univ Iberoamer, Santo Domingo, Dominican Rep
[3] Univ Politecn Valencia, IUMPA, E-46022 Valencia, Spain
来源：
TOPOLOGY AND ITS APPLICATIONS | 2016年 / 203卷
关键词：
Chaotic operator; Linear fractional transformations; Backward shifts; WEIGHTED SHIFTS; OPERATORS T; F(T); HYPERCYCLICITY; INVARIANT; SPACES;
D O I：
10.1016/j.topol.2015.12.077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize chaos for phi(B) on Banach sequence spaces, where phi is a Linear Fractional Transformation and B is the usual backward shift operator. Characterizations are computable since they involve only the four complex numbers defining phi. (C) 2016 Elsevier B.V. All rights reserved.
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页码：84 / 90
页数：7
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