The locally uniformly non‐square points of Orlicz–Bochner sequence spaces

The locally uniformly non‐square points of Orlicz–Bochner sequence spaces
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DOI:
10.1002/mana.201500239
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发表时间:
2017-04
影响因子:
1
通讯作者:
Zhongrui Shi;Yujiao Wang
Zhongrui Shi;Yujiao Wang
中科院分区:
数学3区
文献类型:
--
作者:
Zhongrui Shi;Yujiao Wang

文献摘要

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In this paper, we investigate the locally uniformly non‐square point of Orlicz–Bochner sequence spaces endowed with Luxemburg norm. Analysing and combining the generating function M and properties of the real Banach space X, we get sufficient and necessary conditions of locally uniformly non‐square point, which contributes to criteria for locally uniform non‐squareness in Orlicz–Bochner sequence spaces. The results generalize the corresponding results in the classical Orlicz sequence spaces.