Geodesic
M-Ideals and Function Algebras
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 123-128

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DOI

Let C(X) be the space of all continuous complex-valued functions defined on the compact Hausdorff space X. We characterize the M-ideals in a uniform algebra A of C(X) in terms of singular measures. For a Banach function algebra B of C(X) we determine the connection between strong hulls for B and its peak sets. We also show that M(X) the space of complex regular Borel measures on X has no M-ideal.
DOI : 10.4153/CMB-1993-018-1
Mots-clés : 46J10, 46E15, Singular measures, strong hull, M -ideal, Banach function algebra, uniform algebra 
Seddighi, K. M-Ideals and Function Algebras. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 123-128. doi: 10.4153/CMB-1993-018-1
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-018-1/}
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