Banach algebras

Part of the Universitext book series (UTX)


Banach algebras provide a framework for many of the local principles. This chapter summarizes the material from Banach algebra theory which is needed in order to understand the following chapters. A reader who is acquainted with the basics of Banach algebras can certainly skip this chapter. On the other hand, we have tried to present the text in a (nearly) self-contained manner. Thus, all basic results are provided with a proof, whereas we have to refer to the literature for the proofs of some results which are mentioned only as an aside. This concerns in particular some results on C -algebras, which form certainly the most important subclass of Banach algebras, but which will not play a distinguished role in this text.


Maximal Ideal Banach Algebra Left Ideal Singular Integral Operator Closed Ideal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • Steffen Roch
    • 1
  • Pedro A. Santos
    • 2
  • Bernd Silbermann
    • 3
  1. 1.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany
  2. 2.Instituto Superior Técnico, Departamento de MatemáticaUniversidade Técnica de LisboaLisboaPortugal
  3. 3.Fakultät für MathematikTechnische Universität ChemnitzChemnitzGermany

Personalised recommendations