Frequently recurrence properties and block families

Autor:	Cardeccia, Rodrigo, Muro, Santiago
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We prove that reiteratively hypercyclic operators have perfect spectrum. Consequently, it follows that there exist separable infinite dimensional Banach spaces that do not support any reiteratively hypercyclic operator. For this, we study $\mathcal F$-recurrence and almost $\mathcal {F}$-recurrence of operators for general families and in particular for a special class of families, called block families.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.13542 Zobrazit plný text záznamu View this record from Arxiv