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A CLOSEDNESS CRITERION FOR THEDIFFERENCE OF TWO CLOSED CONVEXSETS IN GENERAL BANACH SPACES
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作者 ANNEBEAULIEU ZHOUFENG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1999年第3期337-340,共4页
The authors give some sufficient conditions for the difference of two closed convex sets to be closed in general Banach spaces, not necessarily reflexive.
关键词 asymptotic cone Conjugate convex function Closedness Infimal Convolution
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A REMARK ON DUALITY FOR THE SUM OF CONVEX FUNCTIONS IN GENERAL BANACH SPACES
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作者 ZHOU FENG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1998年第3期249-254,共6页
The author gives a new proof of Attouch Brezis′ theorem concerned with the duality for the sum of convex functions in general Banach spaces, and gives also some sufficient conditions for the difference of two close... The author gives a new proof of Attouch Brezis′ theorem concerned with the duality for the sum of convex functions in general Banach spaces, and gives also some sufficient conditions for the difference of two closed convex sets to be closed in reflexive Banach spaces. 展开更多
关键词 Conjugate convex function asymptotic cone Infimal convolution
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