Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 94982, 11 pages
A pythagorean approach in Banach spaces
Department of Mathematics, Community College of
Philadelphia, Philadelphia 19130-3991, PA, USA
Received 30 December 2003; Accepted 4 May 2004
Copyright © 2006 Ji Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a Banach space
and let be the unit sphere of .
Parameters , , , and , where and
are introduced and studied. The values of these parameters in the
spaces and function spaces are estimated.
Among the other results, we proved that a Banach space with
, or is uniform nonsquare; and a Banach space
with , or
has uniform normal