In this paper we will present two different approaches to the development of product measures. In the second chapter we follow the lead of H. L. Royden in his book Real Analysis and develop product measure in the context of outer measure. The approach in the third and fourth chapters will be the one taken by N. Dunford and J. Schwartz in their book Linear Operators Part I. Specifically, in the fourth chapter, product measures arise almost entirely as a consequence of integration theory. Both developments culminate with proofs of well known theorems due to Fubini and Tonelli.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc504189 |
| Date | 08 1900 |
| Creators | Race, David M. (David Michael) |
| Contributors | Lewis, Paul Weldon, Bilyeu, Russell Gene |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 102 leaves, Text |
| Rights | Public, Race, David M. (David Michael), Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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