Intersection properties of balls in complex Banach spaces whose duals are \(L_1\) spaces

DOI10.1007/BF02392118zbMath0309.46025MaRDI QIDQ1219018

Otte Hustad

Publication date: 1974

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

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Projective and injective objects in functional analysis (46M10) Dilations, extensions, compressions of linear operators (47A20)

Related Items (15)

Extension of compact mappings and \(\aleph_0\)-hyperconvexity ⋮ Daugavet property in projective symmetric tensor products of Banach spaces ⋮ Baire classes of complex L 1-preduals ⋮ A short proof of a theorem on complex Lindenstrauss spaces ⋮ Central subspaces of Banach spaces ⋮ A three-ball intersection property for \(u\)-ideals ⋮ Complex Banach spaces whose duals are \(L_1\)-spaces ⋮ A counterexample on extreme operators ⋮ Injectivity and operator spaces ⋮ Intersection properties of balls in spaces of compact operators ⋮ The Choquet representation in the complex case ⋮ Fraïssé limits in functional analysis ⋮ Concerning the Hahn-Banach Theorem ⋮ Intersection Properties of Balls and Subspaces in Banach Spaces ⋮ Baire classes of \(L_{1}\)-preduals and \(C^{*}\)-algebras

Cites Work

• Unnamed Item
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On a class of complex Banach spaces
• The \(L_ p\) spaces
• Structure in real Banach spaces. I and II
• Intersections of translates of convex bodies
• Extension of compact operators
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Une Caracterisation Vectorielle-Metrique Des Espaces L¹

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