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- W629739633 abstract "Let (X, ‖ · ‖ ) be a real normed space, X ≠ {0}, U:= {x ∈ X: ‖x ‖ ≤ 1} the unit ball and S:= {x ∈ X: ‖x ‖ = 1} the unit sphere of X. Let h( ‖ · ‖ ) denote the minimum cardinal number of families M of closed half-spaces of X such that U = ⋂ M. If T stands for the norm topology on X, we denote the subspace topology of T on S by T | S. For the density character d(T):= min {card A: A ⊂ X, cl A = X} we have d(T |S) = 2 for dim R X = 1 and d(T |S) = d(T) for dim R X ≥ 2." @default.
- W629739633 created "2016-06-24" @default.
- W629739633 creator A5007992997 @default.
- W629739633 date "1984-01-01" @default.
- W629739633 modified "2023-09-24" @default.
- W629739633 title "The Unit Ball of Normed Vector Spaces as an Intersection of Half-Spaces" @default.
- W629739633 cites W2320058978 @default.
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- W629739633 doi "https://doi.org/10.1007/978-3-0348-6259-2_49" @default.
- W629739633 hasPublicationYear "1984" @default.
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