On a new notion of norm-attaining operators on Banach spaces

Start: 30 October 2024 09:00
End: 30 October 2024 10:00
Categories: Conference , Seminar , Instituto de Matemáticas UGR

Where: Seminario Departamento Análisis Matemático, Facultad de Ciencias

IMAG Functional Analysis Seminar
Title: "On a new notion of norm-attaining operators on Banach spaces"
By Helena del Río Fernández (Universidad de Granada)
Abstract: We present a new notion of norm-attainment in which the maximum is required to be strongly attained with respect to the range space. This is a less restrictive concept than the absolute strong exposition introduced by Bourgain in 1977, although it is also closely related to the Radon-Nikodým Property. Using this new concept, we improve some classical results by Uhl (1976) and Schchermayer (1983) and get some analogous results to those obtained by Bourgain (1977).