摘要
本文讨论k—严格凸Banach空间的各种性质,并证明,对于有限维空间,k—严格凸与k—UR是等价的.另外若x,Y分别是k_1—严格凸k_2—严格凸的Banch空间.1<p<∞,则(X(?)Y),为(k_1+k_2—1)—严格凸的Banach空间。
The results of this paper are as follow(1) Let X be a finite dimensional Banach space and dimX≥ k. If A' is k-strictly convex, then X is k-uniformly rotund.(2) Let X be k^1-strictly convex and let Y be k^2 strictly convex. Then (X (?) Y)_p,(1 < p < ∞),is (k_1+k_2-1)-strictly convex.
