Baire classes of affine vector-valued functions

DOI10.4064/sm8278-5-2016zbMath1367.46016arXiv1411.1874OpenAlexW3098916858MaRDI QIDQ3178240

Jiří Spurný, Ondřej F. K. Kalenda

Publication date: 8 July 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1874

zbMATH Keywords

Pettis integralsimplex\(L_1\)-predualstrongly affine functionvector-valued Baire function

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Classical Banach spaces in the general theory (46B25) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Convex sets in topological linear spaces; Choquet theory (46A55) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (5)

The Dirichlet problem on compact convex sets ⋮ The abstract Dirichlet problem for continuous vector-valued functions ⋮ A class of summing operators acting in spaces of operators ⋮ Preserving affine baire classes by perfect affine maps ⋮ Almost everywhere convergent sequences of weak∗‐to‐norm continuous operators

Cites Work

• Unnamed Item
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• Baire classes of strongly affine functions on simplices and on \(C^\ast\)-algebras
• Every \(L_ 1\)-predual is complemented in a simplex space
• On contractively complemented subspaces of separable \(L_1\)-preduals
• A note on real structure of complex \(L^ 1\)-preduals
• The representations of linear functionals by measures on sets of extreme points
• A solution of the abstract Dirichlet problem for Baire-one functions
• Extending operators into Lindenstrauss spaces
• Upper semi-continuous set-valued functions
• Correction to: Upper semi-continuous set-valued functions
• Characterizations of some classes of \(L^1\)-preduals by the Alfsen-Effros structure topology
• Geometrical properties of subclasses of complex \(L_ 1\)-preduals
• On a class of complex Banach spaces
• A double-dual characterization of separable Banach spaces containing \(\ell^1\)
• On separable Lindenstrauss spaces
• Massiveness of the set of extreme points of the dual ball of a Banach space. Polyhedral spaces
• The Dirichlet problem for Baire-one functions
• Extending Baire-one functions on topological spaces
• Baire classes of \(L_{1}\)-preduals and \(C^{*}\)-algebras
• Opérateurs de Lion, projecteurs boréliens et simplexes analytiques
• Banach spaces whose duals are \(L_ 1\) spaces and their representing matrices
• Concerning Banach spaces whose duals are abstract \(L\)-spaces
• On a class of real Banach spaces
• Préduaux de L-espace: Notion de centre. (Preduals of L-spaces: The notion of centre)
• Banach space theory. The basis for linear and nonlinear analysis
• A characterization of complex $L_1$-preduals via a complex barycentric mapping
• Remark on the Abstract Dirichlet Problem for Baire-One Functions
• The weak Dirichlet problem for Baire functions
• Baire classes of complex L 1-preduals
• Baire classes of Banach spaces and strongly affine functions
• THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES
• A new type of affine Borel function.
• CHARACTERIZATIONS OF COMPLEX L¹ - PREDUALS
• ON AFFINE EXTENSIONS OF CONTINUOUS FUNCTIONS DEFINED ON THE EXTREME BOUNDARY OF A CHOQUET SIMPLEX
• Fonctions convexes de première classe.
• Convex Functions on the Dual Ball of a Complex Lindenstrauss Space
• The Dual Ball of a Lindenstrauss Space.
• Integration of Functions With Values in Locally Convex Suslin Spaces
• Sur Les Fonctions Qui Verifient Le Calcul Barycentrique
• Edwards' separation theorem for complex Lindenstrauss spaces with application to selection and embedding Theorems.
• Complex preduals of $L_1$ and subspaces of $l^n_\infty(\mathsf(C))$.
• CHOQUET SIMPLICES WITH PRESCRIBED EXTREME AND ŠILOV BOUNDARIES
• Affine Baire-one functions on Choquet simplexes
• Every separable L₁-predual is complemented in a C^*-algebra
• Korovkin Theory in Lindenstrauss Spaces.
• BAIRE CLASSES OF NON-SEPARABLE L1-PREDUALS
• Descriptive properties of elements of biduals of Banach spaces
• Spaces of Affine Continuous Functions on Simplexes
• A measurable map with analytic domain and metrizable range is quotient
• Products of Separable Spaces
• Lectures on Choquet's theorem

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