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• # Artykuł - szczegóły

## Colloquium Mathematicum

2014 | 136 | 2 | 271-296

## Relatively weak* closed ideals of A(G), sets of synthesis and sets of uniqueness

EN

### Abstrakty

EN
Let G be a locally compact amenable group, and A(G) and B(G) the Fourier and Fourier-Stieltjes algebras of G. For a closed subset E of G, let J(E) and k(E) be the smallest and largest closed ideals of A(G) with hull E, respectively. We study sets E for which the ideals J(E) or/and k(E) are σ(A(G),C*(G))-closed in A(G). Moreover, we present, in terms of the uniform topology of C₀(G) and the weak* topology of B(G), a series of characterizations of sets obeying synthesis. Finally, closely related to the above issues, we present a series of results about closed sets of uniqueness (i.e. closed sets E for which $\overline{J(E)}^{w*} = B(G)$).

271-296

wydano
2014

### Twórcy

autor
• Department of Mathematics, Koc University, 34450 Sariyer, Istanbul, Turkey