Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory
Dec 2009 · De Gruyter Studies in Mathematics Book 35 · Walter de Gruyter
Ebook
731
Pages
Tools
info
About this ebook
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
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...
Discover more
About the author
Jaroslav Lukeš, Jan Malý, Ivan Netuka and Jiri Spurný, Charles University, Prague, Czech Republic.
Jaroslav Lukeš, Jan Malý, Ivan Netuka and Jiri Spurný, Charles University, Prague, Czech Republic.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
