Entropy for compact operators and results on entropy and specification

Speaker: Paulo Lupatini

Abstract: We prove that the specification property implies infinite topological entropy for operators acting on infinite dimensional $F$-spaces. We also prove that compact operators acting on Banach spaces have finite entropy and the entropy depends exclusively on the operators point spectrum. Additionally, we prove that the variational principle is not valid for compact operators acting on Banach spaces.

Date: 08/10/2024 – 16:00

Room: 321 do IMECC