Baire classes of \(L_{1}\)-preduals and \(C^{*}\)-algebras

zbMath1323.46005MaRDI QIDQ2340885

Pavel Ludvík, Jiří Spurný

Publication date: 21 April 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1427897169

zbMATH Keywords

\(C^{*}\)-algebrasecond Baire class\(L_{1}\)-predual

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) General theory of (C^*)-algebras (46L05) Isometric theory of Banach spaces (46B04) Convex sets in topological linear spaces; Choquet theory (46A55) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (2)

Baire classes of affine vector-valued functions ⋮ Baire classes of complex L 1-preduals

Cites Work

• Every \(L_ 1\)-predual is complemented in a simplex space
• On contractively complemented subspaces of separable \(L_1\)-preduals
• Extending operators into Lindenstrauss spaces
• Intersection properties of balls in complex Banach spaces whose duals are \(L_1\) spaces
• Complex Banach spaces whose duals are \(L_1\)-spaces
• On separable Lindenstrauss spaces
• On the classification of the Banach spaces whose duals are \(L_1\) spaces
• 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)
• The unit ball in conjugate \(L_ 1\) spaces
• Facial Characterizations of Complex Lindenstrauss Spaces
• Baire classes of Banach spaces and strongly affine functions
• THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES
• Convex Functions on the Dual Ball of a Complex Lindenstrauss Space
• Every separable L₁-predual is complemented in a C^*-algebra
• Descriptive properties of elements of biduals of Banach spaces
• Complex Lindenstrauss spaces with extreme points

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