Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory - Couverture rigide

Lukeš, Jaroslav; Malý, Jan; Netuka, Ivan; Spurný, Jirí

Couverture rigide

ISBN 10 : 3110203200 ISBN 13 : 9783110203202

Editeur : De Gruyter, 2010

Synopsis

This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications.

From the contents:

• Geometry of convex sets
• Choquet theory of function spaces
• Affine functions on compact convex sets
• Perfect classes of functions and representation of affine functions
• Simplicial function spaces
• Choquet's theory of function cones
• Topologies on boundaries
• Several results on function spaces and compact convex sets
• Continuous and measurable selectors
• Construction of function spaces
• Function spaces in potential theory and Dirichlet problem
• Applications

A propos du livre

À propos de l?auteur

Jaroslav Lukes, Jan Malý, Ivan Netuka and Jiri Spurný, Charles University, Prague, Czech Republic.

Détails de l'édition

• Éditeur: De Gruyter
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 3110203200
• ISBN 13: 9783110203202
• Reliure: Relié
• Nombre de pages: 731
• Coordonnées du fabricant: productsafety@degruyterbrill.com; productsafety@degruyterbrill.com; ; Theaterstraße 13; Göttingen; 37073; Allemagne