Solution to Problem of the Week 4

by | Dec 4, 2020 | Problem Solving

So, this is really late, the semester took its toll on me, and again nothing works. The first problem is an application of the Eberlain-Smulyan theorem; let be a countable dense subset of and note that for each there exists a subsequence such that is weakly...

Solution to Problem 3

by | Sep 30, 2020 | Problem Solving, Pure Maths

So this problem comes from the functional analysis course I took last semester. Although simple, I thought was pretty cool. In the actual exercise they had broken it down into three parts, which I did not show in the problem post. Here I will show the steps as claims....