Výsledky vyhledávání - "Walmsley David"

Report

Autor: Liu, Martin, Walmsley, David, Xue, James

Recently, new topological properties that an operator acting on a topological vector space can have were introduced: strong hypercyclicity and hypermixing. We introduce a new property called ultra hypercyclicity, and we compare it to the other common

Externí odkaz: http://arxiv.org/abs/2312.02899

Zobrazit plný text záznamu

Report

Strong topological transitivity, hypermixing, and their relationships with other dynamical properties

Autor: Curtis, Ian, Griswold, Sean, Halverson, Abigail, Stilwell, Eric, Teske, Sarah, Walmsley, David, Wang, Shaozhe

Recently, two stronger versions of dynamical properties have been introduced and investigated: strong topological transitivity, which is a stronger version of the topological transitivity property, and hypermixing, which is a stronger version of the

Externí odkaz: http://arxiv.org/abs/2304.02073

Zobrazit plný text záznamu

Report

Two Families of Hypercyclic Non-Convolution Operators

Autor: Myers, Alex, Odinaev, Muhammadyusuf, Walmsley, David

Publikováno v: Involve 14 (2021) 349-360

Let $H(\mathbb{C})$ be the set of all entire functions endowed with the topology of uniform convergence on compact sets. Let $\lambda,b\in\mathbb{C}$, let $C_{\lambda,b}:H(\mathbb{C})\to H(\mathbb{C})$ be the composition operator $C_{\lambda,b} f(z)=

Externí odkaz: http://arxiv.org/abs/2011.14208

Zobrazit plný text záznamu

Report

Linear Factorization of Hypercyclic Functions for Differential Operators

Autor: Chan, Kit C., Hofstad, Jakob, Walmsley, David

On the Fr\'{e}chet space of entire functions $H(\mathbb{C})$, we show that every nonscalar continuous linear operator $L:H(\mathbb{C})\to H(\mathbb{C})$ which commutes with differentiation has a hypercyclic vector $f(z)$ in the form of the infinite p

Externí odkaz: http://arxiv.org/abs/1912.02371

Zobrazit plný text záznamu