Lectures on Choquet's Theorem

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D. Van Nostrand Company, 1966 - Functional analysis - 130 pages
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Appearing for the first time in book form are the main results centered about Choquet's integral representation theorem-an important recent chapter in functional analysis. This theorem has applications to analysis, probability, potential theory, and functional analysis; it will doubtless have further applications as it becomes better known. This readable book presupposes a knowledge of integration theory and elementary functional analysis, including the Krein-Milman theorem and the Riesz representation theorem. --Back cover.

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Contents

Section Page 1 Introduction The KreinMilman theorem as an integral representation theorem
1
Application of the KreinMilman theorem to completely monotonic functions
11
The metrizable case
18
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