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Journal of Function Spaces and ApplicationsVolume 2012 2012, Article ID 724120, 11 pages

Research ArticleCollege of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China

Received 9 March 2011; Accepted 9 November 2011

Academic Editor: Anna Kaminska

Copyright © 2012 Z. H. Zhang and C. Y. Liu. 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

By the continuity of preduality map, we give some necessary and sufficientconditions of the strongly convex and very convex spaces, respectively. Usingnearly strong convexity of 𝑋, we give some equivalent conditions that everyelement in 𝑋 is strongly unique of order 𝑝, bounded strongly unique of order 𝑝, and locally strongly unique of order 𝑝.





Author: Z. H. Zhang and C. Y. Liu

Source: https://www.hindawi.com/



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