In this chapter we study spectral theory in Banach algebras. Basic concepts and classical results are summarized in the first two sections. In the subsequent sections we study the approximate point spectrum, which is one of the most important examples of a spectrum in Banach algebras. The approximate point spectrum is closely related with the notions of removable and non-removable ideals.
KeywordsSpectral Radius Banach Algebra Spectral System Algebra Norm Maximal Ideal Space
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