赋s范数的Orlicz函数空间的单调性

Monotonicity of Orlicz Function Space-equipped with S-norm

单调性是Banach空间几何学的重要内容。研究赋s-范数Orlicz函数空间的单调性,并给出s-范数的一些基本性质。在此基础上,得到了赋s-范数Orlicz空间严格单调性和局部单调性的判据。

Monotonicity is important to Banach space geometry.In this paper,the monotonicity of Orlicz spaces equipped with the s-norm are dicussed.First,we gave some basic properties of the spaces.Using these properties,we obtained the criteria for strict monotonicity and upper local uniformly monotonicity in Orlicz spaces equipped with s-norm.