An intersection property of balls and relations with M-ideals

DOI10.1007/BF01215196zbMath0618.46020MaRDI QIDQ1822301

T. S. S. R. K. Rao, Peter Harmand

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183733

zbMATH Keywords

geometry of spaces of compact operatorsintersection property of balls in a Banach spaceproper M-idealstrong extreme pointsultraproducts of \(L^ 1\)-preduals

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (8)

SOME REMARKS ON THE SCHUR APPROXIMATION PROPERTY ⋮ New classes of Banach spaces which are M-ideals in their biduals ⋮ Almost square Banach spaces ⋮ Totally smooth renormings ⋮ Banach spaces which are semi-L-summands in their biduals ⋮ Banach spaces which are semi-L-summands in their biduals ⋮ Diameter 2 properties and convexity ⋮ Some results on almost square Banach spaces

Cites Work

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• Intersection properties of balls in spaces of compact operators
• Some examples concerning rotundity in Banach spaces
• Banach spaces which are proper M-ideals
• Banach Spaces Which are M-Ideals in their Biduals
• The Compact Hankel Operators Form an M-Ideal in the Space of Hankel Operators
• Ultraproducts of $L_1$-predual spaces
• M-ideals of compact operators in classical Banach spaces.
• Extension of compact operators
• On relatively disjoint families of measures, with some applications to Banach space theory

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