【摘要】 讨论Banach空间几种超投影性质(及其相应的局部化性质)之间的关系,证明了在Banach空间X自反的条件下,X是l_p~-次投影空间的充要条件是X~*是l_q~-超投影空间,X是局部l_p~-次投影空间的充要条件是X~*是局部l_q~-超投影空间,以及X是局部次投影空间的充要条件是X~*是局部超投影的。其中1/p+1/q=1(p>1,q>1)。更多还原

【Abstract】 In this article the relations between superprojective properties and local superpro-jective propcrtics of Banach space are discussed. For a reflexivc Banach space X, it is provedthat X is l_p--subprojective space if and only if X~* is l_p-superprojective space, X is local l_p-sub-projective spacc if and only if X~* is local l_p-superprojective space and X is local subprojectivespace if and only if X~* is local superprojective space, where 1/p+1/q=1.更多还原