Banach Algebras

  • Adam BowersEmail author
  • Nigel J. Kalton (deceased)
Part of the Universitext book series (UTX)


In this chapter, we will study Banach spaces with a multiplication. These spaces are called Banach algebras. Throughout this section, we will confine ourselves to considering complex Banach spaces, which will allow us to make use of powerful theorems from complex analysis. (For a brief review of results from complex analysis, see Sect. B.2 in the appendix.)


Banach Space Identity Element Banach Algebra Division Algebra Complex Banach Space 
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Copyright information

© Springer Science+Business Media, LLC 2014

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, San DiegoLa JollaUSA
  2. 2.Department of MathematicsUniversity of Missouri, ColumbiaColumbiaUSA

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