[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2016.24.3.397

k- DENTING POINTS AND k- SMOOTHNESS OF BANACH SPACES

Wulede, Suyalatu (College of Mathematics Science Inner Mongolia Normal University)
Shang, Shaoqiang (School of Science Northeast Forestry University)
Bao, Wurina (Xilingol Vacation College)

Publication Information

Korean Journal of Mathematics / v.24, no.3, 2016 , pp. 397-407 More about this Journal

Abstract

In this paper, the concepts of k-smoothness, k-very smoothness and k-strongly smoothness of Banach spaces are dealt with together briefly by introducing three types k-denting point regarding different topology of conjugate spaces of Banach spaces. In addition, the characterization of first type ${\omega}^*-k$ denting point is described by using the slice of closed unit ball of conjugate spaces.

Keywords

k denting points; k smooth spaces; k very smooth spaces; k strongly smooth spaces; Banach spaces;

Citations & Related Records

Reference

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