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中山大学数学系
Published:1996,
Published Online:25 July 1996,
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Li Yongjin. The Convexity of Linear Operator on Banach Space. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 35(4):19-22(1996)
DOI:
Li Yongjin. The Convexity of Linear Operator on Banach Space. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 35(4):19-22(1996) DOI:
定义了严格凸算子和光滑算子,证明了若T*是严格凸算子,则T是光滑算子;若T*是光滑算子,则T是严格凸算子
The strictly convex operator and smooth operator are defined
it is shown that if T * is smooth operator
T is strictly convex operator and if T * is strictly convex operator
T is smooth operator.
严格凸算子光滑算子局部一致凸算子
strictly convex operatorsmooth operatorlocally uniformly convex operator
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