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Unitary equivalence of spectral measures on a Baer -semigroup

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dc.contributor.authorGarren, Kenneth Rossen
dc.contributor.committeechairBevis, Jean H.en
dc.contributor.committeememberRutland, Leon W.en
dc.contributor.committeememberJohnson, Harry Leeen
dc.contributor.committeememberDePree, John D.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:11:42Zen
dc.date.adate2010-06-02en
dc.date.available2014-03-14T21:11:42Zen
dc.date.issued1968-05-05en
dc.date.rdate2010-06-02en
dc.date.sdate2010-06-02en
dc.description.abstractThis paper is concerned with a generalization of the concept of unitary equivalence of spectral measures on a Baer *-semigroup. A connection is made between abstract spectral measures, and three other distinct mathematical systems. Chapter II is devoted specifically to generalizing the concept of a spectral measure and to determining necessary and sufficient conditions for which two spectral measures will be unitarily equivalent. Chapter III discusses the problem of each (C(M) , qμ) being type I in terms of cycles, the basic elements of C(M). In Chapter IV it is shown that in a Loomis *-semigroup each type I (C(M) , qμ) will be type I homogeneous. Chapter V relates the study of unitary equivalence of spectral measures and the unitary equivalence of normal elements in a Finite Dimensional Baer *-algebra.en
dc.description.degreePh. D.en
dc.format.extent44 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06022010-020328en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06022010-020328/en
dc.identifier.urihttp://hdl.handle.net/10919/37930en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1968.G3.pdfen
dc.relation.isformatofOCLC# 20737052en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1968.G3en
dc.subject.lcshGroup theoryen
dc.titleUnitary equivalence of spectral measures on a Baer -semigroupen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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