TY - JOUR
T1 - Relative Chebyshev centers in normed linear spaces, part II
AU - Amir, Dan
AU - Ziegler, Zvi
N1 - Funding Information:
* Work completed while the second author was visiting the Mathematics Research Center, University of Wisconsin-Madison. Sponsored by the United States Army under Contract DAAG29-80-C-0041, and partially supported by a grant from the Israeli National Academy of Sciences.
PY - 1983/8
Y1 - 1983/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=48749145945&partnerID=8YFLogxK
U2 - 10.1016/0021-9045(83)90147-8
DO - 10.1016/0021-9045(83)90147-8
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AN - SCOPUS:48749145945
SN - 0021-9045
VL - 38
SP - 293
EP - 311
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
IS - 4
ER -