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Disjoint hypercyclic powers of weighted translations on groups
- Source :
- Czechoslovak Mathematical Journal. 67:839-853
- Publication Year :
- 2017
- Publisher :
- Institute of Mathematics, Czech Academy of Sciences, 2017.
-
Abstract
- Let G be a locally compact group and let 1 ≤ p < 1. Recently, Chen et al. characterized hypercyclic, supercyclic and chaotic weighted translations on locally compact groups and their homogeneous spaces. There has been an increasing interest in studying the disjoint hypercyclicity acting on various spaces of holomorphic functions. In this note, we will study disjoint hypercyclic and disjoint supercyclic powers of weighted translation operators on the Lebesgue space L p(G) in terms of the weights. Sufficient and necessary conditions for disjoint hypercyclic and disjoint supercyclic powers of weighted translations generated by aperiodic elements on groups will be given.
- Subjects :
- Discrete mathematics
Mathematics::Functional Analysis
010102 general mathematics
Holomorphic function
Disjoint sets
Locally compact group
01 natural sciences
010101 applied mathematics
Combinatorics
Disjoint union (topology)
Aperiodic graph
Ordinary differential equation
Standard probability space
Locally compact space
0101 mathematics
Mathematics
Subjects
Details
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- Czechoslovak Mathematical Journal
- Accession number :
- edsair.doi...........3a59c99b2ed98968e4d1669f9a0fc2de