Minimizing the volume of projections in Banach spaces
نویسنده
چکیده
Let BY denote the unit ball of a normed linear space Y . A symmetric, bounded, closed, convex set A in a finite dimensional normed linear space X is called a sufficient enlargement for X if, for an arbitrary isometric embedding of X into a Banach space Y , there exists a linear projection P : Y → X such that P (BY ) ⊂ A. The main result of the paper is a description of all possible shapes of minimal-volume sufficient enlargements.
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تاریخ انتشار 2007