Banach空间中K-严格凸的等价刻画

摘要

Some qualities about K - strictly convex in Banach space are given by the ways of the similar equivalent characterizations about strictly convex in Banach space. WhenX,Y is Banach space,one new sufficient condition and two new sufficient and necessary conditions are given simultaneously for the direct sum X +Y space to be K1 + K2 + 1 - strictly convex.%利用类似于Banach空间严格凸等价刻画时的方法,给出Banach空间K-严格凸的一些性质,当X,y都是Banach空间时,给出直和X⊕Y是K1 +K2 +1-严格凸的1个充分条件,以及直和X⊕Y空间是K1+K2+1-严格凸的2个充要条件.