math.FA

This is the arXiv category tag for functional analysis. It contains posts on Banach/Hilbert space theory, concrete function spaces, measure theory, distribution theory, and integral transforms.

At its roots, mathematical analysis is a field about existence of things that may or may not be. Fundamentally this is rooted in our …
Last updated on 19 min read expository

Apologies if this post is shoddily written; I mainly just wanted to record an explicit counterexample before I forget it, and this post …
Last updated on 4 min read Mathematical diversions

A follow up to my previous post on Young's inequality.
Last updated on 10 min read expository

Preliminaries Here's something I learned from Chongchun Zeng of Georgia Tech, while chatting over some hors-d'oeuvres at the AMS …
Last updated on 6 min read expository