Banach 空间的(L_P)性质

ON THE (L_p)PROPERTY OF BANACH SPACE

本文给出了(L_p)性质的定义,并就具有该性质的Banach空间进行了讨论,给出了这一性质的对偶性质,证明了若 X 与 X~* 均具(L_p)性性,则 X 是自反的。

This paper mainly deal with the Banach space which has(L_p) property.First of all,we give out the dual property(L_p),then we prove such a result:if both X and X~* have(Lp)property,then X is reflexive.