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

Authors

  • A. Ülger
    • Department of MathematicsBo|>gazici University
Article

DOI: 10.1007/BF01308725

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

Abstract

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

46J05 46J15 46J99 46J20 43A15

Key words

Spectrum amenability uniform algebra Gleason parts homomorphism

Copyright information

© Springer-Verlag 1996