王漱石.某些Banach空间的有限阶光滑点和强光滑点(英)[J].数学研究及应用,1996,16(3):319~324 |
某些Banach空间的有限阶光滑点和强光滑点(英) |
Smooth and Strongly Smooth Points of Finite Order in Some Banach Spaces |
投稿时间:1994-05-09 |
DOI:10.3770/j.issn:1000-341X.1996.03.001 |
中文关键词: |
英文关键词:smooth point, strongly smooth point, smooth point of finite order, strongly smooth point of finite order. |
基金项目: |
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摘要点击次数: 1993 |
全文下载次数: 1192 |
中文摘要: |
本文给出l∞(X)以及L(l1(X),Y),L(X,l∞(Y))和L(X,c0(Y))的单位球的有限阶光滑点和强光滑点的充要条件,这里X和Y都是任意的Banach空间.特别地,本文给出这些空间的单位球的光滑点和强光滑点的充要条件. |
英文摘要: |
We characterize the smooth and strongly smooth points of fluite order in l∞(X) as well as in L(l1(X),Y),L(X,l∞(Y))and L(X,c0(Y)),where X and Y are arbitrary Banach spaces.In particular, we characterize the smooth and strougly smooth points in these spaces. |
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