A spectral decomposition for flows on uniform spaces. (November 2020)

• Record Type: Journal Article
• Authors: Park, Jong-Suh; Ku, Se-Hyun
• Is Part Of: Nonlinear analysis. Volume 200(2020)
• Publication Date: 2020-11
• Subjects: primary 54E15 -- secondary 37C10, 37C20; Expansivity -- Pseudo orbit tracing property -- Flow -- Uniform space; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111982
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We study the behavior of flows on uniform spaces and consider expansivity, pseudo orbit tracing property and chain recurrence. The main result of this article is a generalization of spectral decomposition theorem to flows that are expansive and have the pseudo orbit tracing property on uniform spaces.