Spaces of continuous linear functionals on function spaces

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dc.contributor.authorKundu, Subimanen
dc.contributor.committeechairMcCoy, Robert A.en
dc.contributor.committeememberAull, Charles E.en
dc.contributor.committeememberOlin, Robert F.en
dc.contributor.committeememberParry, Charles J.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2015-07-09T20:43:20Zen
dc.date.available2015-07-09T20:43:20Zen
dc.date.issued1989en
dc.description.abstractThis thesis is a study of several spaces of continuous linear functionals on various function spaces with a natural norm inherited from a larger Banach space. The completeness of these normed linear spaces is studied in detail and several necessary and sufficient conditions are obtained in this regard. Since spaces of continuous linear functionals are inherently related to spaces of measures, their measure-theoretic counterparts are also studied. By using these counterparts, several necessary and sufficient conditions are obtained on the separability of these spaces of continuous linear functionals.en
dc.description.degreePh. D.en
dc.format.extentvi, 57 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/54225en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 20362660en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1989.K864en
dc.subject.lcshLinear algebraic groupsen
dc.titleSpaces of continuous linear functionals on function spacesen
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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