Integral representation theory : Applications to convexity, Banach spaces and potential theory
Result description
This monograph provides an extensive and largely self-contained exposition of integral representation theory with emphasis on applications in mathematical analysis. It is focused on the Choquet theory of function spaces, function cones and compact convexsets. An important feature of the book is the interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces and classical as well as abstract potential theory. A substantial part of the material is of fairly recent origin and many results appear in book form for the first time.
Keywords
potential theoryBanach spacesChoquet's theoryIntegral representation
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Integral representation theory : Applications to convexity, Banach spaces and potential theory
Original language description
This monograph provides an extensive and largely self-contained exposition of integral representation theory with emphasis on applications in mathematical analysis. It is focused on the Choquet theory of function spaces, function cones and compact convexsets. An important feature of the book is the interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces and classical as well as abstract potential theory. A substantial part of the material is of fairly recent origin and many results appear in book form for the first time.
Czech name
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Czech description
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Classification
Type
B - Specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/07/0388: Modern methods in potential theory and function spaces
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
ISBN
978-3-11-020320-2
Number of pages
715
Publisher name
Walter de Gruyter
Place of publication
Berlin
UT code for WoS book
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Basic information
Result type
B - Specialist book
CEP
BA - General mathematics
Year of implementation
2010