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.

引用

页码：84 / 90

页数：7

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