Analysis & Applications Seminar
Some open problems on locally solid convergences
Speaker: Eugene Bilokopytov (University of Alberta)Date: Friday, 14 February 2025 - 11:30Place: Aula Naranja, ICMAT
Abstract:
In this talk we will survey the recent work by Conradie, Troitsky, van der Walt and the speaker on locally solid convergences with the focus on the questions which were left open. The theory of locally solid convergences generalizes the locally solid topologies but also includes other classical notions of convergences on a vector lattice including order and relative uniform convergences. The questions are either of the topological nature (when does a certain convergence have a certain topological property), or about the way in which the convergence interacts with linear or lattice structure.
