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Dual Banach Algebras

  • Volker RundeEmail author
Chapter
  • 76 Downloads
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

A dual Banach algebra is a Banach algebra that is also a dual Banach space such that multiplication is separately weak\(^*\) continuous. Examples of dual Banach algebras are, among others, von Neumann algebras, the measure algebra M(G). and the Fourier–Stieltjes algebra B(G) of a locally compact group G, or the algebras \(\mathcal {B}(E)\) of all bounded linear operators on a reflexive Banach space E.

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  1. 1.Department of Mathematical and Statistical ScienceUniversity of AlbertaEdmontonCanada

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