Geodesic
Gaps between Spheres in Normed Linear Spaces
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 347-354

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-1980-049-7
Mots-clés : 46B99, Gap, gap point, reflexive, finite-dimensional, weakly compactly generated, weak*-basic sequence 
Lohman, Robert H. Gaps between Spheres in Normed Linear Spaces. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 347-354. doi: 10.4153/CMB-1980-049-7
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