Nearly Uniformly Convex in Orlicz Sequence Spaces Equipped with Orlicz Norm

Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (1): 1-8.

哈尔滨工业大学数学系黑龙江哈尔滨150001,哈尔滨理工大学数学系黑龙江哈尔滨150080

Received:1998-01-16 Online:2000-03-30 Published:2024-08-12
About author:MENG Chen-hui(1972-),female,native of Qitaihe,Heilongjiang,doctor of Harbin Institute of Technology,engages in functional analysis.
Supported by:
Supported by NSF and ECF of CHINA(18971020)and NSF of Heilongjiang Province(A9702)

Abstract

Abstract: 本文给出了赋 Orlicz范数的 Orlicz序列空间的Ｈ点的充分必要条件，进而得到了赋 Orlicz范数的 Orlicz序列空间具有（Ｈ）性质的判据．同时给出了赋 Orlicz范数的 Orlicz序列空间的一致ＵＫＫ和接近一致凸性的等价条件．

Key words: , Orlicz空间, H点, Kadec-Klee性质, UKK性质, 接近一致凸性,

CLC Number:

O177.3

MENG Chen-hui, CUI Yun-an, WANG Ting-fu. Nearly Uniformly Convex in Orlicz Sequence Spaces Equipped with Orlicz Norm [J]. Chinese Quarterly Journal of Mathematics, 2000, 15(1): 1-8.

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Nearly Uniformly Convex in Orlicz Sequence Spaces Equipped with Orlicz Norm

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