Results 1 to 10 of about 24 (24)

An Extension of Hypercyclicity for N‐Linear Operators

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Grosse‐Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N‐linear operators that is inspired by difference equations. Under this new notion, every separable infinite dimensional Fréchet space supports supercyclic N‐linear ...
Juan Bès, J. Alberto Conejero, Manuel Maestre   +2 more
wiley   +1 more source

Dynamics, Operator Theory, and Infinite Holomorphy

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris, Manuel Maestre, Miguel Martín, Yun Sung Choi   +3 more
wiley   +1 more source

On Some Subspace Codiskcyclic Operators in Banach Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators. The paper also demonstrates the existence of subspace codiskcyclic operators in finite‐dimensional Banach ...
Peter Masong Slaa, Santosh Kumar, Marco Mpimbo, Shikha Binwal   +3 more
wiley   +1 more source

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age‐structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Victor Kovtunenko
wiley   +1 more source

Hypercyclic and chaotic convolution operators associated with the Dunkl operator on C

Acta Mathematica Hungarica, 2005
J J Betancor, K Trimeche, Betancor J J
exaly  

Hypercyclic and Chaotic Convolution Associated with the Jacobi–Dunkl Operator

Mediterranean Journal of Mathematics, 2013
Hatem Mejjaoli, K Trimeche
exaly  

Hypercyclic behaviour of operators in a hypercyclic

Journal of Functional Analysis, 2007
Alfred Peris
exaly  

Hypercyclic and Chaotic Convolution Operators

Journal of the London Mathematical Society, 2000
JOSÉ Bonet
exaly  

Hypercyclic tuples of operators on ℂnand ℝn

Linear and Multilinear Algebra, 2012
Stanislav Shkarin
exaly  

Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces

Studia Mathematica, 2005
TERESA Bermudez, Antonio Bonilla, Alfred Peris   +2 more
exaly