Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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k- DENTING POINTS AND k- SMOOTHNESS OF BANACH SPACES

  • Received : 2016.05.12
  • Accepted : 2016.08.21
  • Published : 2016.09.30
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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.

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References

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