DOI QR코드

DOI QR Code

A NOTE ON SOME UNIFORM GEOMETRICAL PROPERTIES IN BANACH SPACES

  • Cho, Kyugeun (Bangmok College of General Education Myong Ji University) ;
  • Lee, Chongsung (Department of Mathematics education Inha University)
  • 투고 : 2014.06.26
  • 심사 : 2014.09.18
  • 발행 : 2014.09.30

초록

In this paper, we investigate relationship between superreflexivity and weak property (${\beta}_k$). Indeed, we get the following diagram.

키워드

참고문헌

  1. B. Beauzamy, Introduction to Banach spaces and their geometry, Mathematics Studies, 68, Noth-Holland, Amsterdam, 1982.
  2. K.G. Cho and C.S. Lee, Weak property (${\beta}_k$), Korean J. Math. 20 (2012), 415-422. https://doi.org/10.11568/kjm.2012.20.4.415
  3. K.G. Cho and C.S. Lee, Superreflexivity and property ($D_k$) in Banach spaces, J. Appl. Math. Inform. 29 (2011), 1001-1006.
  4. S. Kakutani, Weak convergence in uniformly convex spaces, Tohoku Math. J. 45 (1938), 347-354.
  5. T. Nishiura and D. Waterman, Reflexivity and summability, Studia Math. 23 (1963), 53-57. https://doi.org/10.4064/sm-23-1-53-57