by Anthony Salib | Dec 4, 2020 | Uncategorized

So I thought it would be fun to show some exercises here taken from the FA2 course I did last semester. Instead of writing it all out, I will just link the course page and label the exercise sheet. Exercise 5.4 from...
by Anthony Salib | Dec 4, 2020 | Uncategorized

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...
by Anthony Salib | Oct 7, 2020 | Uncategorized

Nothing works anymore 🙁 Problems attached! Problem4Download
by Anthony Salib | 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....
by Anthony Salib | Sep 24, 2020 | Pure Maths

So guess what happened again, another WordPress malfunction… something really isn’t right here. The blog post is attached! Open Mapping BlogDownload
by Anthony Salib | Sep 22, 2020 | Problem Solving, Pure Maths

Supposed that satisfies for all . Prove that...
by Anthony Salib | Sep 22, 2020 | Problem Solving, Pure Maths

So once again, WordPress doesn’t like my Latex, so I have attached this blog as a pdf. Enjoy! PrbWk2Download
by Anthony Salib | Sep 2, 2020 | Uncategorized

So for some reason my usual way of writing Latex on the blog doesn’t work for this post. I have no idea why unfortunately, so I will just add the post as a PDF attached to this! Solution to Problem 1Download
by Anthony Salib | Aug 23, 2020 | Uncategorized

So last week we talked about the Baire Category Theorem, and this important tool will give us three equivalent theorems about the qualitative properties of operators on Banach spaces. Today we will begin with the first theorem, uniform boundedness. The proof of this...
by Anthony Salib | Aug 23, 2020 | Problem Solving, Pure Maths

This one is simple! Why is called...
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