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k- DENTING POINTS AND k- SMOOTHNESS OF BANACH SPACES
Wulede, Suyalatu,Shang, Shaoqiang,Bao, Wurina The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.3
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.