ISOMETRIC APPROXIMATIONS FROM UNIFORMLY SMOOTH SPACES INTO l_∞(Ⅰ') TYPE SPACES  

作　　者：Wang Risheng 王日生(Nankai University)

机构地区：[1]Nankai University

出　　处：《Acta Mathematica Scientia》1989年第1期27-32,共6页数学物理学报(B辑英文版)

摘　　要：In this paper we’ve proved that if X is a uniformly smooth Banach space,then the IAP(isometric approximation problem)on the space B(X,l_(∞)(Γ))for some infinite index setΓis aftirmative if and only if dimX=l or∞.Particularly the IAP on spaces B(l_(p),m)and B(L_(p)[0,1],m)are affirmative(1<p<∞).

分 类 号：O1[理学—数学] O4[理学—基础数学]