One-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetry

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dc.contributor.authorHuang, Jiann-Shiuhen
dc.contributor.committeechairOlin, Robert F.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberArnold, J. A.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberHaskell, Peter E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:21:01Zen
dc.date.adate2005-10-13en
dc.date.available2014-03-14T21:21:01Zen
dc.date.issued1991-06-14en
dc.date.rdate2005-10-13en
dc.date.sdate2005-10-13en
dc.description.abstractLet <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.en
dc.description.degreePh. D.en
dc.format.extentiv, 46 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10132005-152531en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10132005-152531/en
dc.identifier.urihttp://hdl.handle.net/10919/39824en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1991.H835.pdfen
dc.relation.isformatofOCLC# 24706956en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1991.H835en
dc.subject.lcshMaximal subgroupsen
dc.titleOne-to-one correspondance between maximal sets of antisymmetry and maximal projections of antisymmetryen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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