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M-Ideals and Function Algebras

Published online by Cambridge University Press:  20 November 2018

K. Seddighi and
H. Zahedani
K. Seddighi
Affiliation:
Department of Mathematics and Statistics Shiraz University Shiraz Iran 71454
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Abstract

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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.

Keywords

46J1046E15Singular measuresstrong hullM -idealBanach function algebrauniform algebra

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993, pp. 123 - 128
Copyright
Copyright © Canadian Mathematical Society 1993

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