The First Cohomology Group of a Maximal Ideal Space

  • JohnΒ Wermer
Part of the Graduate Texts in Mathematics book series (GTM, volume 35)


Given Banach algebras 𝔄1 and 𝔄2 with maximal ideal spaces β„³ 1 and β„³ 2, if 𝔄1 and 𝔄2 are isomorphic as algebras, then β„³ 1 and β„³ 2 are homeomorphic. It is thus to be expected that the topology of β„³ (𝔄) is reflected in the algebraic structure of 𝔄, for an arbitrary Banach algebra 𝔄.


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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • JohnΒ Wermer
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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