Noncreasy and uniformly noncreasy OrliczBochner function spaces

摘要

We point out that uniform noncreasiness is a super-property in Banach spaces. Moreover, we prove that OrliczBochner function spaces are noncreasy if and only if they are rotund or smooth. Finally, we obtain that OrliczBochner function spaces are uniformly noncreasy if and only if they are uniformly rotund or uniformly smooth.