LEADER 03190nam  22005895  450 
001 9910144599003321
005 20250724091932.0
010   $a3-540-48719-0
024 7 $a10.1007/b76887
035   $a(CKB)1000000000233195
035   $a(SSID)ssj0000324361
035   $a(PQKBManifestationID)12087617
035   $a(PQKBTitleCode)TC0000324361
035   $a(PQKBWorkID)10313825
035   $a(PQKB)10671252
035   $a(DE-He213)978-3-540-48719-7
035   $a(MiAaPQ)EBC3073233
035   $a(PPN)155205757
035   $a(EXLCZ)991000000000233195
100   $a20121227d2001      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2 rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLectures on Choquet's Theorem /$fby Robert R. Phelps
205   $a2nd ed. 2001.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2001.
215   $a1 online resource (X, 130 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1757
311 08$a3-540-41834-2 
320   $aIncludes bibliographical references and index.
327   $aThe 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.
330   $aA well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1757
606   $aPotential theory (Mathematics)
606   $aFunctional analysis
606   $aPotential Theory
606   $aFunctional Analysis
615  0$aPotential theory (Mathematics)
615  0$aFunctional analysis.
615 14$aPotential Theory.
615 24$aFunctional Analysis.
676   $a515/.73
700   $aPhelps$b Robert R$4aut$4http://id.loc.gov/vocabulary/relators/aut$060176
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144599003321
996   $aLectures on Choquet's theorem$9378122
997   $aUNINA