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The locally uniformly non‐square points of Orlicz–Bochner sequence spaces
Author(s) -
Shi Zhongrui,
Wang Yujiao
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500239
Subject(s) - mathematics , sequence (biology) , square (algebra) , norm (philosophy) , banach space , birnbaum–orlicz space , bochner space , pure mathematics , lp space , function space , point (geometry) , interpolation space , mathematical analysis , eberlein–šmulian theorem , functional analysis , geometry , biochemistry , chemistry , genetics , political science , gene , law , biology
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.