Integral Representation Theory - Applications to Convexity, Banach Spaces and Potential Theory (Hardcover)

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

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Studies in Mathematics
Release date:	2010
First published:	2010
Authors:	Jaroslav Lukes • Jan Maly • Ivan Netuka • Jiri Spurny
Dimensions:	240 x 170 x 43mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	731
ISBN-13:	978-3-11-020320-2
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	3-11-020320-0
Barcode:	9783110203202

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!