The Most Powerful Theorem in Operator Theory

Video Description

Operator theory is one of the foundations of Quantum Mechanics and it’s one of those mathematical areas that stores the craziest things that can possibly happen in what we call reality. And the theorem we will talk about today, is a way of shedding light into the dark universe of Hilbert spaces. This is the most powerful theorem in Operator Theory, called the Spectral Theorem.  PDF link if you want a more detailed explanation: https://dibeos.net/2025/12/20/the-most-powerful-theorem-in-operator-theory/ Full PDF with a more complete explanation and exercises can be found here: https://di-beos-shop.fourthwall.com/products/spectral-theorem Functional Analysis by Walter Rudin https://amzn.to/495sHEn --- Become a member to support us. Those who sign up for the 'Members' tier get Full PDFs for free. We appreciate your support! https://www.youtube.com/channel/UC3Z1rXCFFadHw69-PZpQRYQ/join Visit our site to sign up with your email: https://dibeos.net --- Our goal is to be the #1 math channel in the world. Please, give us your feedback, and help us achieve this ambitious dream. --- Some great books for learning math or physics https://www.amazon.com/hz/wishlist/ls/OUBVJVG21N5W?ref_=wl_share 🥹 Consider supporting us on Patreon: https://www.patreon.com/user?u=86646021