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Volumn 153, Issue 2-3 SPEC. ISS., 2005, Pages 239-244

Closure in a Hilbert space of a prehilbert space Chebyshev set

Author keywords

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

Indexed keywords


EID: 27644447598     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2003.09.017     Document Type: Article
Times cited : (5)

References (9)
  • 1
    • 84968515662 scopus 로고
    • Chebyshev sets in Hilbert space
    • E. Asplund Chebyshev sets in Hilbert space Trans. Amer. Math. Soc. 144 1969 235-240
    • (1969) Trans. Amer. Math. Soc. , vol.144 , pp. 235-240
    • Asplund, E.1
  • 2
    • 0040337442 scopus 로고
    • Bijdrage tot de Theorie der Convexe puntverzamelingen
    • Thesis, University of Groningen
    • L. Bunt, Bijdrage tot de Theorie der Convexe puntverzamelingen, Thesis, University of Groningen, 1934
    • (1934)
    • Bunt, L.1
  • 4
    • 38249000931 scopus 로고
    • On Johnson's example of a nonconvex Chebyshev set
    • M. Jiang On Johnson's example of a nonconvex Chebyshev set J. Approx. Theory 74 1993 152-158
    • (1993) J. Approx. Theory , vol.74 , pp. 152-158
    • Jiang, M.1
  • 5
    • 38249033425 scopus 로고
    • A nonconvex set which has the unique nearest point property
    • G.G. Johnson A nonconvex set which has the unique nearest point property J. Approx. Theory 51 1987 289-332
    • (1987) J. Approx. Theory , vol.51 , pp. 289-332
    • Johnson, G.G.1
  • 7
    • 15944410322 scopus 로고    scopus 로고
    • Chebyshev foam
    • G.G. Johnson Chebyshev foam Topology Appl. 74 1999 163-171
    • (1999) Topology Appl. , vol.74 , pp. 163-171
    • Johnson, G.G.1
  • 8
    • 0000317792 scopus 로고
    • Convexity of Chebyshev sets
    • V. Klee Convexity of Chebyshev sets Math. Ann. 143 1961 292-304
    • (1961) Math. Ann. , vol.143 , pp. 292-304
    • Klee, V.1
  • 9
    • 84956211934 scopus 로고
    • Approximative properties of sets in normed linear spaces
    • L.P. Vlaslov, Approximative properties of sets in normed linear spaces, Russian Mat. Surveys 28 (1973) 1-66
    • (1973) Russian Mat. Surveys , vol.28 , pp. 1-66
    • Vlaslov, L.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.