Seminar on Banach and Metric Space Geometry

Date: April 4, 2024

Time: 10:00AM - 11:00AM

Location: BLOC 302

Speaker: Rubén Medina, Universidad de Granada

Title: On nonlinear approximation properties and a problem of Godefroy and Ozawa

Abstract: In this talk we will focus on nonlinear analogues of classical approximation properties in separable Banach spaces. More specifically, we will present different properties that have been conjectured to hold in every separable Banach space by N. Kalton (2012) as well as by G. Godefroy and N. Ozawa (2014). Regarding the problem raised by Godefroy and Ozawa, we will present certain advances produced in the last three years in collaboration with Petr Hájek, some of which hint towards a negative solution. We will also comment some positive results for 'large' families of spaces and connections with linear approximation properties.