This paper is basically concerned with the geometry of normed linear spaces. Approximation enters as one is concerned about approximation from discrete sets and the relation to the geometry of the space. Packings, tilings, and coverings play a central role in the geometrical description of the spaces. A central result of the paper is the theorem that if X contains an "-discrete Chebyshev set K, then X cannot be uniformly nonsquare.
Separation and approximation in normed linear spaces.
CASINI, EMANUELE GIUSEPPE;
1986-01-01
Abstract
This paper is basically concerned with the geometry of normed linear spaces. Approximation enters as one is concerned about approximation from discrete sets and the relation to the geometry of the space. Packings, tilings, and coverings play a central role in the geometrical description of the spaces. A central result of the paper is the theorem that if X contains an "-discrete Chebyshev set K, then X cannot be uniformly nonsquare.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.