Operator Amenability

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


The discussion of amenability properties of dual Banach algebras makes clear that Definition  2.1.11 is not well-suited to deal with every class of Banach algebras: as it ignores the dual space structure of dual Banach algebras, it is too strong to encompass sufficiently many interesting examples. The “right” notion of amenability for dual Banach algebras is Connes-amenability, which takes the additional structure into account.

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© 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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