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A dual characterisation of the existence of small combinations of slices

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Publication:3776039
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DOI10.1017/S0004972700004214zbMath0636.46015MaRDI QIDQ3776039

Robert Deville

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

dual spaceRadon-Nikodym propertydual normconvex combinations of slices\(w^ *\)-closed slices


Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22)


Related Items (8)

Two properties of Müntz spaces ⋮ Octahedral norms in duals and biduals of Lipschitz-free spaces ⋮ Octahedral norms and convex combination of slices in Banach spaces ⋮ On the duality of the symmetric strong diameter 2 property in Lipschitz spaces ⋮ Summands in locally almost square and locally octahedral spaces ⋮ Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces ⋮ On strongly norm attaining Lipschitz maps ⋮ Quantitative versions of almost squareness and diameter 2 properties




Cites Work

  • Unnamed Item
  • Rough and Strongly Rough Norms on Banach Spaces
  • Differentiable Functions and Rough Norms on Banach Spaces




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