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Almost antiproximinal sets in $L_1$
Journal: Matematychni Studii (Vol.35, No. 2)Publication Date: 2011-04-01
Authors : Kholomenyuk V. A.; Mykhaylyuk V. V.;
Page : 172-180
Keywords : almost antiproximinal set; space $L_1$;
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Abstract
We introduce a notion of almost antiproximinality of sets in the space $L_1$ which is a weaken- ing of the notion of antiproximinality. Also we investigate properties of almost antiproximinal sets and establish a method of construction of almost antiproximinal sets.
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