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

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DOI

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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     author = {Lohman, Robert H.},
     title = {Gaps between {Spheres} in {Normed} {Linear} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {347--354},
     year = {1980},
     volume = {23},
     number = {3},
     doi = {10.4153/CMB-1980-049-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-049-7/}
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