Baire classes of Banach spaces and strongly affine functions

DOI10.1090/S0002-9947-09-04841-7zbMath1215.46009MaRDI QIDQ3550550

Jiří Spurný

Publication date: 31 March 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

simplexBaire functionsbarycentric formulastrongly affine functions\(L^1\)-predualsintrinsic Baire classes

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items

Affine images of compact convex sets and maximal measures ⋮ Baire classes of affine vector-valued functions ⋮ On the Dirichlet problem of extreme points for non-continuous functions ⋮ Affine Baire functions on Choquet simplices ⋮ Baire classes of strongly affine functions on simplices and on \(C^\ast\)-algebras ⋮ The minimum principle for affine functions and isomorphisms of continuous affine function spaces ⋮ Isomorphisms of spaces of continuous affine functions on compact convex sets with Lindelöf boundaries ⋮ Baire classes of \(L_{1}\)-preduals and \(C^{*}\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation of abstract affine functions.
• Complementability of spaces of affine continuous functions on simplices
• Simplicial function spaces and simplexes
• Choquet like sets in function spaces.
• On approximation of affine Baire-one functions
• Opérateurs de Lion, projecteurs boréliens et simplexes analytiques
• Der Satz von Choquet als ein abstrakter Spektralsatz und vice versa
• A predual of \(l_1\) which is not isomorphic to a C(K) space
• The weak Dirichlet problem for Baire functions
• A new type of affine Borel function.
• The Dirichlet Problem for Harmonic Functions
• Sur Les Fonctions Qui Verifient Le Calcul Barycentrique
• Spaces of Affine Continuous Functions on Simplexes
• Lectures on Choquet's theorem

This page was built for publication: Baire classes of Banach spaces and strongly affine functions