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

共 50 条

[21] Li-Yorke chaos in linear dynamics
Bernardes, N. C., Jr.
Bonilla, A.
Mueller, V.
Peris, A.
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2015, 35 : 1723 - 1745
[22] Multi linear Fractional Hausdorff Operators
Fan, Da Shan
Zhao, Fa You
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (08) : 1407 - 1421
[23] Some remarks on distributional chaos for bounded linear operators
Luo, Lvlin
Hou, Bingzhe
TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (02) : 251 - 258
[24] Disjoint hypercyclic linear fractional composition operators
Bes, J.
Martin, Oe
Peris, A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 843 - 856
[25] Finite presentation of a linear-fractional group
Ashiq, M
Mushtaq, Q
ALGEBRA COLLOQUIUM, 2005, 12 (04) : 585 - 589
[26] Non linear singular drifts and fractional operators
Chamorro, Diego
Menozzi, Stephane
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 5 (06):
[27] THE CHAOS OF THE SOLUTION SEMIGROUP FOR THE QUASI-LINEAR LASOTA EQUATION
Chang, Yu-Hsien
Hong, Cheng-Hong
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (05): : 1707 - 1717
[28] Composition of pseudodifferential operators associated with fractional Hankel-Clifford integral transformations
Prasad, Akhilesh
Kumar, Praveen
APPLICABLE ANALYSIS, 2016, 95 (08) : 1792 - 1807
[29] Linear fractional mappings: invariant sets, semigroups and commutativity
Jacobzon, Fiana
Reich, Simeon
Shoikhet, David
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2009, 5 (01) : 63 - 91
[30] INVARIANT, DECOUPLING AND BLOCKING ZEROS OF FRACTIONAL LINEAR SYSTEMS
Kaczorek, Tadeusz
ACTA MECHANICA ET AUTOMATICA, 2018, 12 (01) : 44 - 48

← 1 2 3 4 5 →