赋p-Amemiya范数Orlicz空间的对偶空间结构

On the dual space structure of Orlicz space equipped with p-Amemiya norm

Orlicz空间的对偶空间结构对于进一步研究Orlicz空间的几何性质起着重要的作用.根据赋Orlicz范数的Orlicz空间的对偶空间结构,研究了赋p-Amemiya范数Orlicz空间的对偶空间结构,得到了2个空间的对偶空间结构具有相似性的结论,并且发现它们具有相等的奇异泛函范数.

The dual space structure of Orlicz space plays an important part in further studying its geometric properties.Studies the dual space structure of Orlicz space with p-Amemiya norm according to Orlicz norm and draws a conclusion that there is a similarity between the two spaces and finds that they have equal singular functional norm.