Article ID Journal Published Year Pages File Type
1710330 Applied Mathematics Letters 2007 4 Pages PDF
Abstract

In this work the geometry of the closed unit ball of A⊗MnA⊗Mn is considered, where AA is a uniform algebra acting on a compact Hausdorff space ΩΩ. It is proved that every pure state of A⊗MnA⊗Mn is a Weak∗-exposed point. The closed unit ball of A⊗MnA⊗Mn is also shown to have exposed points if and only if ΩΩ admits a diffuse measure.

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Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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