Integral Representation Theory : : Applications to Convexity, Banach Spaces and Potential Theory / / Jaroslav Lukeš, Jan Malý, Ivan Netuka, Jirí Spurný.
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...
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| Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2009] ©2010 |
| Year of Publication: | 2009 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
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| Physical Description: | 1 online resource (715 p.) |
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Lukeš, Jaroslav, author. aut http://id.loc.gov/vocabulary/relators/aut Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / Jaroslav Lukeš, Jan Malý, Ivan Netuka, Jirí Spurný. Berlin ; Boston : De Gruyter, [2009] ©2010 1 online resource (715 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 35 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Banach spaces. Convex domains. Functional analysis. Integral representations. Potential theory (Mathematics). Dirichletsches Problem. Funktionalanalysis. Konvexe Analysis. Partielle Differentialgleichung. Potentialtheorie. MATHEMATICS / Functional Analysis. bisacsh Convex Analysis. Dirichlet Problem. Functional Analysis. Partial Differential Equation. Potential Theory. Malý, Jan, author. aut http://id.loc.gov/vocabulary/relators/aut Netuka, Ivan, author. aut http://id.loc.gov/vocabulary/relators/aut Spurný, Jirí, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 9783110219517 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 9783110219524 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009 9783110219463 ZDB-23-DMN print 9783110203202 https://doi.org/10.1515/9783110203219 https://www.degruyter.com/isbn/9783110203219 Cover https://www.degruyter.com/document/cover/isbn/9783110203219/original |
| language |
English |
| format |
eBook |
| author |
Lukeš, Jaroslav, Lukeš, Jaroslav, Malý, Jan, Netuka, Ivan, Spurný, Jirí, |
| spellingShingle |
Lukeš, Jaroslav, Lukeš, Jaroslav, Malý, Jan, Netuka, Ivan, Spurný, Jirí, Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / De Gruyter Studies in Mathematics , 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 |
| author_facet |
Lukeš, Jaroslav, Lukeš, Jaroslav, Malý, Jan, Netuka, Ivan, Spurný, Jirí, Malý, Jan, Malý, Jan, Netuka, Ivan, Netuka, Ivan, Spurný, Jirí, Spurný, Jirí, |
| author_variant |
j l jl j l jl j m jm i n in j s js |
| author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Malý, Jan, Malý, Jan, Netuka, Ivan, Netuka, Ivan, Spurný, Jirí, Spurný, Jirí, |
| author2_variant |
j m jm i n in j s js |
| author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author_sort |
Lukeš, Jaroslav, |
| title |
Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / |
| title_sub |
Applications to Convexity, Banach Spaces and Potential Theory / |
| title_full |
Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / Jaroslav Lukeš, Jan Malý, Ivan Netuka, Jirí Spurný. |
| title_fullStr |
Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / Jaroslav Lukeš, Jan Malý, Ivan Netuka, Jirí Spurný. |
| title_full_unstemmed |
Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / Jaroslav Lukeš, Jan Malý, Ivan Netuka, Jirí Spurný. |
| title_auth |
Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / |
| title_alt |
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 |
| title_new |
Integral Representation Theory : |
| title_sort |
integral representation theory : applications to convexity, banach spaces and potential theory / |
| series |
De Gruyter Studies in Mathematics , |
| series2 |
De Gruyter Studies in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2009 |
| physical |
1 online resource (715 p.) Issued also in print. |
| contents |
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 |
| isbn |
9783110203219 9783110494938 9783110238570 9783110238471 9783110637205 9783110219517 9783110219524 9783110219463 9783110203202 |
| issn |
0179-0986 ; |
| url |
https://doi.org/10.1515/9783110203219 https://www.degruyter.com/isbn/9783110203219 https://www.degruyter.com/document/cover/isbn/9783110203219/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.7 |
| dewey-sort |
3515.7 |
| dewey-raw |
515.7 |
| dewey-search |
515.7 |
| doi_str_mv |
10.1515/9783110203219 |
| oclc_num |
840443909 |
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| status_str |
n |
| ids_txt_mv |
(DE-B1597)33451 (OCoLC)840443909 |
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cr |
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Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2009 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2009 |
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Integral Representation Theory : Applications to Convexity, Banach Spaces and Potential Theory / |
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