Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/425

 Title: Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis Authors: Rychter, Jan Keywords: Unconditional BasisUniformly Gateaux Smooth NormsUniform Eberlein CompactsUniform 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. URI: http://hdl.handle.net/10525/425 ISSN: 1310-6600 Appears in Collections: Volume 26 Number 4

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