Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/18535
Title: | Certain Extensions of the Riesz-Thorin Interpolation Theorem |
Authors: | Lee, Siu |
Advisor: | Heinig, H. |
Department: | Mathematics |
Keywords: | riesz-thorin interpolation;convexity theorems;linear operators;analytic families |
Publication Date: | Apr-1972 |
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> |
URI: | http://hdl.handle.net/11375/18535 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Lee_Siu_M_1972_Masters.pdf | 1.93 MB | Adobe PDF | View/Open |
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.