Introduce Banach Algebras and C* algebras and give some commentary and proofs over how it relates to the spectrum, resolvent sets along with the relationship to eigenvectors and eigenvalues.

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Banach Algebras, C* Algebras and Spectral Theory.

Introduce Banach Algebras and C* algebras and give some commentary and proofs over how it relates to the spectrum, resolvent sets along with the relationship to eigenvectors and eigenvalues.