| On the k—smoothness and k—strong smoothness |
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| 引用本文： | 方习年,汪远征.On the k—smoothness and k—strong smoothness[J].数学季刊,1997,12(2):36-41. |
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| 作者姓名： | 方习年 汪远征 |
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| 作者单位： | Fang Xinian (Anhui Mechanical and Electrical Enginee College，Anhui，Wuhu，241000)Wang Yuanzheng(Zhengzhou Textile Institute，Zhengzhou，450007) |
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| 摘 要： | 5l.IntroductionFrompal,er11,L2],to3j,tI1efol1owingresultsareobtained:1)LetXbeaBanachspace,thenxes(X)={xeX;llxIl=1}isG-differetiableifandonIyif,foreachyeX,letXI=span(x,y).2)LetXbeaBanachspace,thenxeS(X)isF-differetiableifandonlyifIn4j,NanchaoxunandWangjianhuaintroducedk-smoothnessandk-strongsmooth-ness.lnthisPaPer,wegive:Theorem1LetXbeaBanachspace,thcnthefollowingstatementsareequivalent.(i)xo6S(X)isk-smooth.(ii)IfX*cyXisk-dimensionalsubspaceandx,eX*,thenwhereU(x,,r)={xeX;l1x-xo…
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| 关 键 词： | k－光滑性 k－强光滑性 HAhn－BAnACh定理 |
On the k-smoothness and k-strong Smoothness |
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| Fang Xinian.On the k-smoothness and k-strong Smoothness[J].Chinese Quarterly Journal of Mathematics,1997,12(2):36-41. |
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| Authors: | Fang Xinian |
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| Institution: | [1]Anhui [2]Mechanical |
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| Abstract: | In this paper, by normwe give a sufficient and necessary condition of k-smooth points and k-strong smooth points. |
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| Keywords: | k-smooth k-strong smooth Hahn-Banach theorem |
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