UID:
almahu_9949462248502882
Format:
1 online resource (715 p.)
ISBN:
9783110203219
,
9783110494938
Series Statement:
De Gruyter Studies in Mathematics , 35
Content:
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
Note:
Frontmatter --
,
Contents --
,
1 Prologue --
,
2 Compact convex sets --
,
3 Choquet theory of function spaces --
,
4 Affine functions on compact convex sets --
,
5 Perfect classes of functions and representation of affine functions --
,
6 Simplicial function spaces --
,
7 Choquet theory of function cones --
,
8 Choquet-like sets --
,
9 Topologies on boundaries --
,
10 Deeper results on function spaces and compact convex sets --
,
11 Continuous and measurable selectors --
,
12 Constructions of function spaces --
,
13 Function spaces in potential theory and the Dirichlet problem --
,
14 Applications --
,
Backmatter
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematics eBook-Package, De Gruyter, 9783110494938
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009, De Gruyter, 9783110219517
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009, De Gruyter, 9783110219524
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009, De Gruyter, 9783110219463
Additional Edition:
ISBN 9783110203202
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110203219
URL:
https://doi.org/10.1515/9783110203219
URL:
https://www.degruyter.com/isbn/9783110203219
