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Choquet like sets in function spaces

✍ Scribed by Jaroslav Lukeš; Tomáš Mocek; Michael Smrčka; Jiří Spurný

Publisher
Elsevier Science
Year
2003
Tongue
French
Weight
320 KB
Volume
127
Category
Article
ISSN
0007-4497

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📜 SIMILAR VOLUMES

On the representation of Choquet integra
On the representation of Choquet integrals of set-valued functions, and null sets
✍ L.C. Jang; J.S. Kwon 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 97 KB

In this paper, we consider the deÿnition of set-valued Choquet integrals. We obtain some properties and the representation of set-valued Choquet integrals. And also, we discuss some fundamental relations between null sets and set-valued Choquet integrals.

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✍ Michal Kraus 📂 Article 📅 2011 🏛 Elsevier Science 🌐 French ⚖ 146 KB

Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set were studied by M. Bačák in the paper Point simpliciality in Choquet representation theory, Illinois J. Mat