A note on some uniform geometrical properties in Banach spaces
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Abstract
In this paper, we investigate relationship between superreflexivity and weak property $(\beta_k)$. Indeed, we get the following diagram.
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Supporting Agencies
This work was supported by the Inha University Research Grant
References
[1] B. Beauzamy, Introduction to Banach spaces and their geometry, Mathematics Studies, 68, Noth-Holland, Amsterdam, 1982. Google Scholar
[2] K.G. Cho and C.S. Lee, Weak property (βk), Korean J. Math. 20 (2012), 415– 422. Google Scholar
[3] K.G. Cho and C.S. Lee, Superreflexivity and property (Dk) in Banach spaces, J. Appl. Math. Inform. 29 (2011), 1001–1006. Google Scholar
[4] S. Kakutani, Weak convergence in uniformly convex spaces, Tˆohoku Math. J. 45 (1938), 347–354. Google Scholar
[5] T. Nishiura and D. Waterman, Reflexivity and summability, Studia Math. 23 (1963), 53–57. Google Scholar