Event date:

Lecture on Modular approximation in spaces with convergence

Lecture by prof. Wojciech Kozłowski, School of Mathematics and Statistics of the University of New South Wales, Australia, will take place on Tuesday, June 28, 2022, Faculty of Mathematics and Computer Science, room A1-33.

Prof. Wojciech Kozlowski is a graduate of the Jagiellonian University and conducts research in functional analysis, fixed point theory and applications.

He is a Fulbright scholar, author of the monograph "Modular Function Spaces", and co-author of "Fixed Point Theory in Modular Function Spaces".

Lecture abstract: In this talk, we will investigate the latest nonlinear approximation results obtained in modular spaces equipped with a sequential convergence structure. A class of such spaces contains all Banach spaces, modular function spaces such as Lebesgue, Orlicz spaces, variable Lebesgue spaces, and their generalizations. We will discuss questions of existence and uniqueness of best approximants in the sense of modular distances in such spaces. In this context, we will also investigate the continuity aspects of generally nonlinear, multi-valued modular projection operators. We will indicate some important areas of application.