Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions
Volume 107 / 2007
Colloquium Mathematicum 107 (2007), 21-34
MSC: 46B20, 46E30.
DOI: 10.4064/cm107-1-4
Abstract
Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.
