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Certain Extensions of the Riesz-Thorin Interpolation Theorem

<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> / Thesis / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/18535
Date04 1900
CreatorsLee, Siu
ContributorsHeinig, H., Mathematics
Source SetsMcMaster University
LanguageEnglish
Detected LanguageEnglish

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