2025/09/15 by Nilson C. Bernardes, Bernardes, Nilson C., Félix Martı́nez-Giménez +3 · 2 citations
Computer Science · Mathematics · #47A16 #47B37 #Advanced Banach Space Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Primary 37B05. Secondary 46A45
paper · pdf · doi:10.48550/arxiv.2509.12410
openalex publication_date 2025/09/15 · openalex created_date 2025/10/18 · openalex updated_date 2026/08/03
We extend the concept of average expansivity for operators on Banach spaces to operators on arbitrary locally convex spaces. We obtain complete characterizations of the average expansive weighted shifts on Fréchet sequence spaces. Moreover, we give a partial answer to a problem proposed by Bernardes et al. in J. Funct. Anal. 288 (2025), Paper No. 110696, by obtaining complete characterizations of the uniformly expansive weighted shifts on Köthe sequence spaces. Some general properties of the various concepts of expansivity in linear dynamics and several concrete examples are also presented.