Abstract
In this section, we give the basic definitions of Banach algebras and C*- algebras, some of the important related terminology, and elementary facts about functional calculus and spectrum of elements. We consider only complex Banach algebras and C*-algebras; there is a similar theory of real C*-algebras (see, for example, [Goo82], [Sch93], or [Con01]).
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© 2006 Springer
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Blackadar, B. (2006). C*-Algebras. In: Operator Algebras. Encyclopaedia of Mathematical Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28517-2_2
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DOI: https://doi.org/10.1007/3-540-28517-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28486-4
Online ISBN: 978-3-540-28517-5
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