Vol. 65, No. 2, 1976

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Packing spheres in Orlicz spaces

Charles Edward Cleaver

Vol. 65 (1976), No. 2, 325–335

A collection of open balls of radius r can be packed in the unit ball U of a Banach space provided each ball is a subset of U and the intersection of any two is empty. In an infinite dimensional Banach space, it is possible to find a largest number Λ so that if r Λ then an infinite number of spheres of radius r can be packed in U. In this paper, upper and lower bounds are found for this number in Orlicz spaces.

Mathematical Subject Classification 2000
Primary: 46E30
Received: 19 November 1974
Revised: 12 April 1976
Published: 1 August 1976
Charles Edward Cleaver