Certain Extensions of the Riesz-Thorin Interpolation Theorem
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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>