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The U—property of Orlicz Sequence Spaces
引用本文:王廷辅,计东海,等.The U—property of Orlicz Sequence Spaces[J].数学季刊,1997,12(4):55-62.
作者姓名:王廷辅  计东海  
摘    要:LetXbeaBanachspace,X'bethedualofX,S(X)={xeX:IIxII=l},B(X)={x6X:llxIlS1}betheunitsphereandunitballofX,respectively.ForxeX,let7xdenotethesetofsupportingfunctionalsfofS(X.)atx.Inl978,LauKa-singintroducedthefollowingnotiontostudytheChebyshevsubsetofX1j:DefinitionABanachspaceXissaidtohaveU-propertyifforanyE>O,thereexists3>osuchthatSomeoftheresultsofU-propertyinljaresummarizedinthefollowing.Theorem(I)IfXhasU-property,thenXisuniformlynonSquare,inparticular,Xissuper-reflexive(infactr…

关 键 词:OrliCz序列空间  U-性质  BAnACh空间

The U-property of Orlicz Sequence Spaces
Wang Tingfu, Ji Donghai , Zhao Liang.The U-property of Orlicz Sequence Spaces[J].Chinese Quarterly Journal of Mathematics,1997,12(4):55-62.
Authors:Wang Tingfu  Ji Donghai  Zhao Liang
Institution:[1]Haerbin [2]University
Abstract:For Orlicz sequence spaces,the criteria of U-property are given.
Keywords:Orlicz sequene spaces  the U-property
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