Disjoint distributional chaos in Fréchet spaces

DOI10.1007/s00025-020-01210-7OpenAlexW3027983955MaRDI QIDQ2187828

Publication date: 3 June 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03824

zbMATH Keywords

Fréchet spaces backward shift operators disjoint distributional chaos disjoint irregular vectors weighted translation operators on locally compact groups

Mathematics Subject Classification ID

Linear relations (multivalued linear operators) (47A06) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (3)

Reiterative $m_n$-distributional chaos of type $s$ in Fréchet spaces ⋮ Disjoint reiterative $m_{n}$-distributional chaos ⋮ Disjoint distributionally chaotic abstract PDEs

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Distributionally chaotic families of operators on Fréchet spaces
Disjoint mixing operators
Weighted backward shift operators with invariant distributionally scrambled subsets
A generalization of Desch-Schappacher-Webb criteria for chaos
Dual disjoint hypercyclic operators
Linear chaos
On $\lambda$-power distributional $n$-chaos
Li-Yorke and distributionally chaotic operators
Operators with dense, invariant, cyclic vector manifolds
Orbits of linear operators tending to infinity
Distributional chaos for operators on Banach spaces
Distributionally $n$-chaotic dynamics for linear operators
On Li-Yorke and distributionally chaotic direct sum operators
A linear chaotic quantum harmonic oscillator
Distributional (and other) chaos and its measurement
Distributional chaos for strongly continuous semigroups of operators
Distributional chaos for operators with full scrambled sets
Distributional chaos for the forward and backward control traffic model
Distributional chaos for linear operators
Distributional chaos for backward shifts
Disjointness in hypercyclicity
Distributionally chaotic translation semigroups
Weighted shifts and disjoint hypercyclicity
Linear chaos and frequent hypercyclicity
A mixing operator $T$ for which $(T, T^2)$ is not disjoint transitive
Distributional chaos revisited
A quantum harmonic oscillator and strong chaos
Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
Remarks on multiples of distributionally chaotic operators
Disjoint supercyclic powers of weighted shifts on weighted sequence spaces
Abstract Volterra Integro-Differential Equations
The Hierarchy of Distributional Chaos
Some remarks on distributional chaos for bounded linear operators
Disjoint hypercyclic operators
Order of growth of distributionally irregular entire functions for the differentiation operator

This page was built for publication: Disjoint distributional chaos in Fréchet spaces