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One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetryHuang, Jiann-Shiuh 13 October 2005 (has links)
Let <b>X</b> be a compact Hausdorff space and <b>A</b> a uniform algebra on <b>X</b>. Let if be an isometric unital representation that maps <b>A</b> into bounded linear operators on a Hilbert space. This research investigated that there is a one-to-one correspondence between the collection of maximal sets of antisymmetry for <b>A</b> and that of maximal projections of antisymmetry for π (<b>A</b>) under the extension of π if π satisfies a certain regularity property. / Ph. D.
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