Journal of Shanghai University（Natural Science Edition） ›› 2010, Vol. 16 ›› Issue (1): 48-52.
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
ZHANG Da-wei,SHI Zhong-rui
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Abstract:
James and Schffer introduced two different definitions of nonsquare normed linear space respectively. In this paper, the sufficient and necessary conditions are given for the nonsquare OrliczBochner spaces endowed with Orlicz norm and Luxemburg norm. LM(X) is nonsquare if and only if X is nonsquare. L(M)(X) is nonsquare if and only if M∈Δ2 and X is nonsquare.
Key words: Orlicz-Bochner space; nonsquare; Luxemburg norm; Orlicz norm
CLC Number:
O 177.2
ZHANG Da-wei,SHI Zhong-rui. Nonsquare Orlicz-Bochner Space[J]. Journal of Shanghai University（Natural Science Edition）, 2010, 16(1): 48-52.
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https://www.journal.shu.edu.cn/EN/Y2010/V16/I1/48
