Title | Lectures on Choquet's Theorem [electronic resource] / edited by Robert R. Phelps |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2001 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/b76887 |
Descript | X, 130 p. online resource |
The Krein-Milman theorem as an integral representation theorem -- Application of the Krein-Milman theorem to completely monotonic functions -- Choquet's theorem: The metrizable case. -- The Choquet-Bishop-de Leeuw existence theorem -- Applications to Rainwater's and Haydon's theorems -- A new setting: The Choquet boundary -- Applications of the Choquet boundary to resolvents -- The Choquet boundary for uniform algebras -- The Choquet boundary and approximation theory -- Uniqueness of representing measures. -- Properties of the resultant map -- Application to invariant and ergodic measures -- A method for extending the representation theorems: Caps -- A different method for extending the representation theorems -- Orderings and dilations of measures -- Additional Topics