Almost antiproximinal sets in $L_1$

Author V. A. Kholomenyuk, V. V. Mykhaylyuk

Jurii Fedkovych Chernivtsy National University

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.
Keywords almost antiproximinal set; space $L_1$
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Pages 172-180
Volume 35
Issue 2
Year 2011
Journal Matematychni Studii
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