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A CLOSEDNESS CRITERION FOR THE DIFFERENCE OF TWO CLOSEDCONVEX SETS IN GENERAL BANACH SPACES |
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Citation: |
Anne BEAULIEU,ZHOU Feng.A CLOSEDNESS CRITERION FOR THE DIFFERENCE OF TWO CLOSEDCONVEX SETS IN GENERAL BANACH SPACES[J].Chinese Annals of Mathematics B,1999,20(3):337~340 |
Page view: 1059
Net amount: 698 |
Authors: |
Anne BEAULIEU; ZHOU Feng |
Foundation: |
National Natural Science
Foundation of China (No. 19641001) |
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Abstract: |
The authors give some sufficient conditions for the difference of two closed
convex sets to be closed in general Banach spaces, not necessarily reflexive. |
Keywords: |
Asymptotic cone, Conjugate convex function, Closedness,
Infimal convolution |
Classification: |
46B10 |
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