赋广义Orlicz范数Orlicz函数空间的局部一致凸性

Locally Uniform Rotundity in Orlicz Function Spaces Equipped with the Generalized Orlicz Norm

利用Banach空间凸性理论研究赋广义Orlicz范数Orlicz函数空间的局部一致凸和弱局部一致凸问题,得到了Orlicz函数空间关于广义Orlicz范数局部一致凸和弱局部一致凸的条件.

Using convex theories of Banach spaces,the authors studied locally uniform rotundity and weakly locally uniform rotundity of the Orlicz function spaces equipped with the generalized Orlicz norm and obtained sufficient and necessary conditions so as to make them be locally uniform rotund and weakly locally uniform rotund.