A ball separation property of bounded convex sets in Hilbert spaces |
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Authors: | Xiuguo Lian |
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Institution: | a School of Mathematics Science, Shanxi University, Taiyuan, Shanxi 030006, PR China b Department of Mathematics, Dezhou University, Dezhou, Shandong 253023, PR China |
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Abstract: | In this paper we provide a ball separation property of bounded convex sets in a Hilbert space. As a consequence, we obtain a representation form of convex closures and two results about convex functionals. |
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Keywords: | Convex set Separation property Representation Convex functional |
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