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Certain Extensions of the Riesz-Thorin Interpolation Theorem

dc.contributor.advisorHeinig, H.
dc.contributor.authorLee, Siu
dc.contributor.departmentMathematicsen_US
dc.date.accessioned2015-11-05T17:55:07Z
dc.date.available2015-11-05T17:55:07Z
dc.date.issued1972-04
dc.description.abstract<p> In this thesis we study convexity theorems on the interpolation of linear operators between LP-spaces. An extension of the Riesz-Thorin Theorem to spaces constructed from countably many LP-spaces is given. In addition, results involving analytic families of linear operators between these spaces are obtained. </p>en_US
dc.description.degreeMaster of Science (MSc)en_US
dc.description.degreetypeThesisen_US
dc.identifier.urihttp://hdl.handle.net/11375/18535
dc.language.isoenen_US
dc.subjectriesz-thorin interpolationen_US
dc.subjectconvexity theoremsen_US
dc.subjectlinear operatorsen_US
dc.subjectanalytic familiesen_US
dc.titleCertain Extensions of the Riesz-Thorin Interpolation Theoremen_US

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