Monatshefte für Mathematik

, Volume 121, Issue 4, pp 353–379

Some results about the spectrum of commutative Banach algebras under the weak topology and applications

  • A. Ülger

DOI: 10.1007/BF01308725

Cite this article as:
Ülger, A. Monatshefte für Mathematik (1996) 121: 353. doi:10.1007/BF01308725


LetA be a commutative Banach algebra with a nonempty spectrum ΣA. By “weak” we denote the relative weak topology induced on ΣA by σ(A*,A**). In this note we study some properties of the topological space (ΣA, weak) and present some applications of the results obtained and tools used to amenability, weakly compact homomorphisms, weakly compact subsets of the spectrum of the uniform algebras and to a characterization of the synthesizable ideals of the algebraA.

1991 Mathematics Subject Classification


Key words

Spectrumamenabilityuniform algebraGleason partshomomorphism

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • A. Ülger
    • 1
  1. 1.Department of MathematicsBo|>gazici UniversityBebek-IstanbulTurkey