Unconditional Basis Uniformly Gateaux Smooth Norms Uniform Eberlein Compacts Uniform Rotundity In Every Direction
Issue Date:
2000
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 26, No 4, (2000), 353p-358p
Abstract:
It is shown that a Banach space X admits an equivalent uniformly
Gateaux differentiable norm if it has an unconditional basis and X*
admits an equivalent norm which is uniformly rotund in every direction.
Description:
*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part
of the author’s MSc thesis written under the supervison of Professor V. Zizler.
