赋Orlicz范数的Orlicz序列空间的k一致凸点

k-uniform Rotund Points in Orlicz Sequence Spaces Equipped with Orlicz Norm

给出了由N-函数所生成的赋Orlicz范数的Orlicz序列空间的k一致凸点一个判别准则,作为其应用得到了赋Orlicz范数的Orlicz序列空间具有局部k一致凸性的一个充要条件.

For Orlicz sequence spaces generated by a N-function and equipped with Orlicz norm,criteria of k-uniform rotund points is discussed. As its application,both sufficient and necessary conditions are obtained to make them be locally k-uniform rotund.