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Gaps between Spheres in Normed Linear Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
The geometric notions of a gap and gap points between “concentric” spheres in a normed linear space are introduced and studied. The existence of gap points characterizes finitedimensional spaces. General conditions are given under which an infinite-dimensional normed linear space admits concentric spheres such that both these spheres and their dual spheres fail to have gap points.
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- Copyright © Canadian Mathematical Society 1980
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