A Review on Some Geometric Results of the Smulian s Theorem on Frechet Differentiability of Norms

2008/10/04 by Assadi, A., Haghshenas, Hadi, Guive, H. Hosseini
#46B20 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0810.0773

Abstract

In this paper, we prove the Smulian s theorem on Frechet differentiability of norm,and present some of its geometric results concerning the Gateaux and Frechet differentiability of norm and properties of the allied space and its dual such as reflexivity and strict convexity.

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