Teorema Espectral para Operadores Compactos Autoadjuntos

Abstract

The primary purpose of this work is to present the Spectral Theorem for compact self-adjoint operators on Hilbert spaces. In the second chapter, we will introduce some relevant definitions, examples, and results in Functional Analysis, which are important for the understanding of Chapters 3 and 4. In the third chapter, we will present a study about the famous Hilbert spaces, while in the fourth and last chapter we will talk about compact and/or self-adjoint operators, and present the theorem that names this work.