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Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory (De Gruyter Studies in Mathematics, 35) - Hardcover
Synopsis
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
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About the Author
Jaroslav Lukeš, Jan Malı, Ivan Netuka and Jiri Spurnı, Charles University, Prague, Czech Republic.
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Integral Representation Theory
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 732 pp. Englisch. Seller Inventory # 9783110203202
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Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory (De Gruyter Studies in Mathematics, 35)
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Integral Representation Theory Applications to Convexity, Banach Spaces and Potential Theory De Gruyter Studies in Mathematics 35
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Integral Representation Theory: Applications to Convexity, Banach Spaces and Potential Theory (de Gruyter Studies in Mathematics)
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Integral Representation Theory
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De Gruyter, De Gruyter Akademie Forschung Jan 2010, 2010
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Buch. Condition: Neu. Neuware -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 setsChoquet theory of function spacesAffine functions on compact convex setsPerfect classes of functions and representation of affine functionsSimplicial function spacesChoquet's theory of function conesTopologies on boundariesSeveral results on function spaces and compact convex setsContinuous and measurable selectorsConstruction of function spacesFunction spaces in potential theory and Dirichlet problemApplicationsWalter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 732 pp. Englisch. Seller Inventory # 9783110203202
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Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783110203202
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Integral Representation Theory
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Hardback. Condition: New. 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 spacesFunction spaces in potential theory and Dirichlet problem Applications. Seller Inventory # LU-9783110203202
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