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K—very Smooth Banach Spaces
引用本文:刘证.K—very Smooth Banach Spaces[J].数学季刊,1996,11(3):79-86.
作者姓名:刘证
作者单位:Anshan Institute of Iron and Steel Technology,Anshan,Liaoning,114002
摘    要:We introduce the notion of K-very smoothness which is a generalization of very smoothness in Banach spaces. A necessary and sufficient condition for a Banach space to be K-very smooth is obtained. We also consider some relations between K-very smoothness and other geometrical notions.

关 键 词:K-非常光滑  BANACH空间  K-强光滑空间

K-very Smooth Banach Spaces
Liu Zheng.K-very Smooth Banach Spaces[J].Chinese Quarterly Journal of Mathematics,1996,11(3):79-86.
Authors:Liu Zheng
Abstract:We introduce the notion of K-very smoothness which is a generalization of very smoothness in Banach spaces. A necessary and sufficient condition for a Banach space to be K-very smooth is obtained. We also consider some relations between K-very smoothness and other geometrical notions.
Keywords:K-smooth space  K-strongly smooth space  K-very smooth space  principle of local re-flexivity
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