A New Class of Geometric Constants in Banach Spaces
Zhang Hai-xi · Journal of Henan University of Science & Technology · 2014
The uniform nonquareness of a Banach space was characterized in this paper. Two new geometric constants H( X) and h( X) were introduced. And the relation equation between H( X) and the modulus of convexity δX( e) was obtained. It is also proved that a Banach space is uniformly nonsquare if and only if the value of H( X) is less than 2. The exact values of H( X) and h( X) for some concrete Banach spaces are computed.