product iamge

Lectures on Choquet's Theorem

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

Author(s): Robert R. Phelps
Year: 2001

Language: English
Pages: 123

Lecture Notes in Mathematics
Preface to First Edition
Preface to Second Edition
Contents
1 Introduction. The Krein-Milman theorem as an integral representation theorem
2 Application of the Krein-Milman theorem to completely monotonic functions
3 Choquet's theorem: The metrizable case.
4 The Choquet-Bishop-de Leeuw existence theorem
5 Applications to Rainwater's and Haydon's theorems
6 A new setting: The Choquet boundary
7 Applications of the Choquet boundary to resolvents
8 The Choquet boundary for uniform algebras
9 The Choquet boundary and approximation theory
10 Uniqueness of representing measures.
11 Properties of the resultant map
12 Application to invariant and ergodic measures
13 A method for extending the representation theorems: Caps
14 A different method for extending the representation theorems
15 Orderings and dilations of measures
16 Additional Topics
References
Index of symbols
Index