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Approximative Compactness for Piecewise Approximatively Compact Sets
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DOI：10.1134/s0001434626602819.png)
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Abstract
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Piecewise approximatively compact Chebyshev sets in Banach spaces are studied. It is shown that in a Banach -space such a set is approximatively compact and has connected intersections with closed balls, and, if the space is smooth, then this set is also convex.
Keywords:
-space
Banach space
approximatively compact set
piecewise approximatively compact set
Chebyshev set
Journal
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0.6
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40
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