Entropy for compact operators and results on entropy and specification

Autor:	Lupatini, Paulo, Silva, Felipe, Varão, Régis
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We prove that the specification property implies infinite topological entropy for operators acting on infinite dimensional $F$-spaces. Furthermore, we establish compact operators acting on Banach spaces exhibit finite entropy and the entropy depends exclusively on the operator's point spectrum. Additionally, we prove that the variational principle does not hold for compact operators acting on Banach spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.10844 Zobrazit plný text záznamu View this record from Arxiv