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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 |
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