Relative Chebyshev centers in normed linear spaces, part II

Dan Amir, Zvi Ziegler

Research output: Contribution to journalArticlepeer-review

Abstract

Let E be a normed linear space, A a bounded set in E, and G an arbitrary set in E. The relative Chebyshev center of A in G is the set of points in G best approximating A. We have obtained elsewhere general results characterizing the spaces in which the center reduces to a singleton in terms of structural properties related to uniform and strict convexity. In this paper, an analysis of the Chebyshev norm case, which falls outside the scope of the previous analysis, is presented.

Original languageEnglish
Pages (from-to)293-311
Number of pages19
JournalJournal of Approximation Theory
Volume38
Issue number4
DOIs
StatePublished - Aug 1983

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