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]).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)