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Non-$$l_n^{(1)}$$ln(1) point and uniformly non-$$l_n^{(1)}$$ln(1) point of Orlicz–Bochner function spaces
Banach Journal of Mathematical Analysis ( IF 1.2 ) Pub Date : 2020-02-12 , DOI: 10.1007/s43037-020-00057-y
Wanzhong Gong , Kangji Wang

Let $$L_M$$ be an Orlicz function space endowed with the Orlicz norm or the Luxemburg norm, and let X be a Banach space. In this paper we characterize the non-$$l_n^{(1)}$$ point and the uniformly non-$$l_{n}^{(1)}$$ point of Orlicz–Bochner function space $$L_M(\mu ,X)$$. As the immediate consequences some criteria for non-square point and uniformly non-square point of $$L_M(\mu ,X)$$ are obtained.

中文翻译:

Orlicz–Bochner 函数空间的非 $$l_n^{(1)}$$ln(1) 点和一致非 $$l_n^{(1)}$$ln(1) 点

令$$L_M$$为赋有Orlicz范数或Luxemburg范数的Orlicz函数空间,令X为Banach空间。在本文中,我们刻画了 Orlicz–Bochner 函数空间 $$L_M() 的非 $$l_n^{(1)}$$ 点和一致非 $$l_{n}^{(1)}$$ 点\mu ,X)$$。作为直接结果,获得了 $$L_M(\mu,X)$$ 的非方形点和统一非方形点的一些标准。
更新日期:2020-02-12
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