Integral Representation Theory
ebook ∣ Applications to Convexity, Banach Spaces and Potential Theory · De Gruyter Studies in Mathematics
By Jaroslav Lukeš
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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.
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