A Generalized Principle of Local Reflexivity  

作　　者：T.Barton 俞鑫泰 

机构地区：[1]Department of Mathematics, Memphis State University, USA [2]Department of Mathematics, East China Normal University

出　　处：《Chinese Science Bulletin》1993年第17期1417-1418,共2页

摘　　要：We prove Theorem 1. Let E be a finite dimensional subspace of X^**, let F be a reflexive subspace of X^*, and let ε】0 be given. Then there is a linear operator S: E→X such that ‖S‖‖S^-1‖【1+ε, Sx=x whenever x∈E∩X, and f(Sx^**)=x^**（f） for all x^**∈E and all f∈F. The proof depends upon two results we now recall.

关 键 词：BANACH SPACE reflexivity. 

分 类 号：N[自然科学总论]