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doi:10.22028/D291-26236
Titel: | The (sub/super)additivity assertion of Choquet |
VerfasserIn: | König, Heinz |
Sprache: | Englisch |
Erscheinungsjahr: | 2003 |
DDC-Sachgruppe: | 510 Mathematik |
Dokumenttyp: | Sonstiges |
Abstract: | The assertion in question comes from the short final section in the Theory of Capacities of Choquet 1953/54, in connection with his prototype of the subsequent Choquet integral. The problem was whether and when this formation is additive. Choquet had the much more abstract idea that all functionals in a certain wide class must be subadditive, and the counterpart with superadditive. His treatment of this point was kind of an outline, and his proof limited to a rather narrow special case. Thus the adequate context and scope of the assertion remained open even up to now. In this paper we present a counterexample which shows that the initial context has to be modified, and then in new context a comprehensive theorem which fulfils all needs turned up so far. |
Link zu diesem Datensatz: | urn:nbn:de:bsz:291-scidok-44192 hdl:20.500.11880/26292 http://dx.doi.org/10.22028/D291-26236 |
Schriftenreihe: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Band: | 84 |
Datum des Eintrags: | 6-Dez-2011 |
Fakultät: | MI - Fakultät für Mathematik und Informatik |
Fachrichtung: | MI - Mathematik |
Sammlung: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Dateien zu diesem Datensatz:
Datei | Beschreibung | Größe | Format | |
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preprint_84_03.pdf | 275,07 kB | Adobe PDF | Öffnen/Anzeigen |
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