Workshop in Analysis and Probability Seminar

Date: July 13, 2016

Time: 2:00PM - 2:50PM

Location: BLOC 220

Speaker: Lei Li, Nankai University

Title: Inverse of disjointness preserving operators

Abstract: A linear operator between function spaces is disjointness preserving if it maps disjoint functions to disjoint functions. Here, two functions are said to be disjoint if at least one of them vanishes at each point. I will talk about the linear disjointness preserving operators between various types of function spaces, including spaces of (little) Lipschitz functions, uniformly continuous functions and di↵erentiable functions. It is shown that a disjointness preserving linear isomorphism whose domain is one of these types of spaces (scalar-valued) has a disjointness preserving inverse.