Weak Topologies
Functional Analysis
2020-10-06 v1
Abstract
Lecture notes on Weak Topologies: We discuss about the weak and weak star topologies on a normed linear space. Our aim is to prove the well known Banach-Alaouglu theorem and discuss some of its consequences, in particular, characterizations of reflexive spaces.
Cite
@article{arxiv.2010.01660,
title = {Weak Topologies},
author = {G. Ramesh},
journal= {arXiv preprint arXiv:2010.01660},
year = {2020}
}
Comments
This notes were written for Annual Foundation School (AFS) - II (2016) held at Kerala School of Mathematics, India