Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/596

 Title: A Note on Preserved Smoothness Authors: Tang, Wee-Kee Keywords: RenormingsGâteaux DifferentiabilityOctahedral Norms Issue Date: 1996 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 22, No 1, (1996), 29p-32p Abstract: Let X be a Banach space equipped with norm || · ||. We say that || · || is Gâteaux differentiable at x if for every h ∈ SX(|| · ||), (∗) lim t→0 (||x + th|| − ||x||) / t exists. We say that the norm || · || is Gâteaux differentiable if || · || is Gâteaux differentiable at all x ∈ SX(|| · ||). Description: * Supported by NSERC (Canada) URI: http://hdl.handle.net/10525/596 ISSN: 1310-6600 Appears in Collections: Volume 22 Number 1

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