摘要
This paper shows that X is uniformly non-square iff P(η_o)】0 for someη_o∈(0,2).Thus X is super-reflexive if and only if for X there exists an equivalent normwhich meets the above condition.By virtue of the before mentioned result,the author derives the necessary,and suffi-cient conditions for X and l^p(X_j)being uniformly non-square,respectively,and gives acharacterization of finite-dimensional spaces which are uniformly non-square.
This paper shows that X is uniformly non-square iff P(η_o)>0 for some η_o∈(0,2).Thus X is super-reflexive if and only if for X there exists an equivalent norm which meets the above condition. By virtue of the before mentioned result,the author derives the necessary,and suffi- cient conditions for X and l^p(X_j)being uniformly non-square,respectively,and gives a characterization of finite-dimensional spaces which are uniformly non-square.
