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Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory (De Gruyter Studies in Mathematics, 35) by Lukeš, Jaroslav ;Malý, Jan ;Netuka, Ivan ;Spurný, Jiři is a nonfiction available to read on EtoBox.

What is Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory (De Gruyter Studies in Mathematics, 35) about?

<html> <head><meta http-equiv=content-type content="text/html; charset=iso-8859-1"></head> <body> <p>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.</p> <P>From the contents:</P> <UL> <LI>Geometry of convex sets </LI> <LI>Choquet theory of function spaces </LI> <LI>Affine functions on compact convex sets </LI> <LI>Perfect classes of functions and representation of affine functions </LI> <LI>Simplicial function spaces </LI> <LI>Choquet's theory of function cones </LI> <LI>Topologies on boundaries </LI> <LI>Several results on function spaces and compact convex sets </LI> <LI>Continuous and measurable selectors </LI> <LI>Construction of function s

Who reads Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory (De Gruyter Studies in Mathematics, 35)?

Author

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

Publisher

Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH

Published

2009

Language

EN

ISBN

9783110203219

Category

nonfiction

Subjects

Mathematics, Science, Physics