Open Access
Original Articles
A Note on Pythagorean Approach in Banach Spaces
Ji Gaojgao@ccp.eduDepartment of MathematicsCommunity College of PhiladelphiaPhiladelphia, PA, 19130-3991, USAView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Sep 2005
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2006.10698509
- Pages:
- 125–132
Abstract
Let X be a normed or a Banach space and be the unit sphere of X. Further properties of parameters , , , and , where and , are studied. We proved that a Banach space X with , or has uniform normal structure, the existing results are improved.
Keywords
References
- Brodskii, M.S. and Milman, D.P.1948 . On the Center of a Convex Set . , 59 : 837 – 840 .
- Buseman, H.1955 . , New York: Academic Press .
- Day, M.M.1973 . , second , New York Heidelberg Berlin: Springer-Verlag .
- Dhompongsa, S., Kaewkhao, A. and Tasena, S.2003 . On a Generalized James Constant . , 285 ( 2 ) : 419 – 435 .
- Gao, J.to appear in Archives of Inequalities and Applications
- Gao, J. and Lau, K.S.1991 . On Two Classes of Banach Spaces with Normal Structure . , 99 ( 1 ) : 41 – 56 .
- Garcia-Falset, J.1994 . Stability and fixed points for nonexpansive mappings . , 20 ( 3 ) : 169 – 173 .
- James, R.C.1964 . Uniformly Nonsquare Banach Spaces . , 80 : 542 – 550 .
- Kirk, W.A.1965 . A Fixed Point Theorem for Mappings Which Do Not Increase Distance . , 72 : 1004 – 1006 .
- Schäffer, J.J.1976 . , New York: Marcel Dekker .
- Sims, B.1982 . ”Ultra”-Techniques in Banach Spaces Theory . , 60
Views: 46Downloads: 76Citations: 0
