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Journal of Function Spaces - Volume 2016 2016, Article ID 5917915, 6 pages -

Research Article

Post-Doctoral Station for Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, China

Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China

Received 28 July 2016; Accepted 12 October 2016

Academic Editor: Richard I. Avery

Copyright © 2016 Lili Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence space , is complex midpoint locally uniformly convex. As a corollary, is also complex strictly convex.





Autor: Lili Chen, Deyun Chen, and Yang Jiang

Fuente: https://www.hindawi.com/



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