Chebyshev foam

Topology and its Applications

Volumn 94, Issue 1-3, 1999, Pages 163-171

  Johnson, Gordon G ^a  

^a University of Houston   (United States)

Author keywords

Chebyshev set; Convex; Inner product space; Nonconvex; Unique nearest point

Indexed keywords

EID: 15944410322     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(98)00033-9     Document Type: Article

References (8)

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2. L. Bunt, Bijdrage tot de theorie der konvekes puntverzamenlingen, Thesis, Univ. of Groningen (1934).
3. F. Deutch, The convexity of Chebyshev sets in Hilbert spaces, in: Topics in Polynomials of One and Several Variables and Their Applications: A Legacy of P.L. Chebyshev (World Sci., Cleveland, 1991).
4. M. Jiang, On Johnson's example of a nonconvex Chebyshev set, J. Approx. Theory 74 (1993) 152-158.
5. G.G. Johnson, A nonconvex set which has the unique nearest point property, J. Approx. Theory 51 (1987) 289-332.
6. G.G. Johnson, G systems, Topology Proc. 8 (1983) 45-50.
7. V. Klee, Convexity of Chebyshev sets, Math. Ann. 143 (1961) 292-304.
8. L.P. Vlaslov, Approximative properties of sets in normed linear spaces, Russian Math. Surveys 28 (1973) 1-66.