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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. The FREE PDF can be found here: https://dibeos.com/wp-content/uploads/2025/12/the_most_powerful_theorem_in_operator_theory__free-2.pdf The 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 --- Visit our site to sign up with your email: https://dibeos.net