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|Title:||Certain Extensions of the Riesz-Thorin Interpolation Theorem|
|Keywords:||riesz-thorin interpolation;convexity theorems;linear operators;analytic families|
|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>|
|Appears in Collections:||Open Access Dissertations and Theses|
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|Lee_Siu_M_1972_Masters.pdf||1.93 MB||Adobe PDF||View/Open|
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