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Volumn 142, Issue 1-3, 2004, Pages 13-17

Isometric embedding of finite ultrametric spaces in Banach spaces

Author keywords

Banach spaces; Embedding; Isosceles metrics; Ultrametric spaces

Indexed keywords


EID: 3042735584     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2003.12.002     Document Type: Article
Times cited : (17)

References (18)
  • 1
    • 0000082542 scopus 로고
    • Remarques sur les métriques non-archimédiennes I
    • Monna A.F. Remarques sur les métriques non-archimédiennes I Nederl. Akad. Wetensch. Proc. 53 1950 470-481
    • (1950) Nederl. Akad. Wetensch. Proc. , vol.53 , pp. 470-481
    • Monna, A.F.1
  • 2
    • 3042799470 scopus 로고
    • Remarques sur les métriques non-archimédiennes II
    • Monna A.F. Remarques sur les métriques non-archimédiennes II Nederl. Akad. Wetensch. Proc. 53 1950 625-637
    • (1950) Nederl. Akad. Wetensch. Proc. , vol.53 , pp. 625-637
    • Monna, A.F.1
  • 3
    • 0013468089 scopus 로고    scopus 로고
    • Finite ultrametric spaces and computer science
    • J. Koslowski, & A. Melton (Eds.), Boston: Birkhäuser
    • Lemin V.A. Finite ultrametric spaces and computer science Koslowski J. Melton A. Categorical Perspectives Kent, OH, 1988 Trends in Math. vol. 16 2001 219-241 Birkhäuser Boston
    • (2001) Categorical Perspectives , vol.16 , pp. 219-241
    • Lemin, V.A.1
  • 4
    • 0013468035 scopus 로고    scopus 로고
    • Isometric embedding of ultrametric (non-Archimedian) spaces in Hilbert spaces and Lebesgue spaces
    • A. K. Katsaras, W. H. Schikhof, & L. van Hamme (Eds.), New York: Dekker
    • Lemin A.J. Isometric embedding of ultrametric (non-Archimedian) spaces in Hilbert spaces and Lebesgue spaces Katsaras A.K. Schikhof W.H. van Hamme L. p-Adic Functional Analysis 2001 203-218 Dekker New York
    • (2001) P-Adic Functional Analysis , pp. 203-218
    • Lemin, A.J.1
  • 5
    • 0013543248 scopus 로고    scopus 로고
    • On a universal ultrametric space
    • Lemin A.J. Lemin V.A. On a universal ultrametric space Topology Appl. 103 2000 339-345
    • (2000) Topology Appl. , vol.103 , pp. 339-345
    • Lemin, A.J.1    Lemin, V.A.2
  • 7
    • 3042790117 scopus 로고
    • An universality property of Hilbert spaces
    • Vestfrid I.A. Timan A.F. An universality property of Hilbert spaces Soviet Math. Dokl. 20 1979 485-486
    • (1979) Soviet Math. Dokl. , vol.20 , pp. 485-486
    • Vestfrid, I.A.1    Timan, A.F.2
  • 9
    • 3042790118 scopus 로고
    • On a universal ultrametric space
    • Vestfrid I.A. On a universal ultrametric space Ukrainian Math. J. 46 1994 1890-1898
    • (1994) Ukrainian Math. J. , vol.46 , pp. 1890-1898
    • Vestfrid, I.A.1
  • 10
    • 0346389278 scopus 로고
    • Isometric embedding of isosceles (non-Archimedian) spaces in Eucledian spaces
    • Lemin A.J. Isometric embedding of isosceles (non-Archimedian) spaces in Eucledian spaces Soviet Math. Dokl. 32 1985 740-744
    • (1985) Soviet Math. Dokl. , vol.32 , pp. 740-744
    • Lemin, A.J.1
  • 11
    • 0013502919 scopus 로고    scopus 로고
    • Universal ultrametric spaces of smallest weight
    • Vaughan J. Universal ultrametric spaces of smallest weight Topology Proc. 24 1999 611-619
    • (1999) Topology Proc. , vol.24 , pp. 611-619
    • Vaughan, J.1
  • 14
    • 0000652912 scopus 로고
    • Absolute and unconditional convergence in normed linear spaces
    • Dvoretzky A. Rogers C.A. Absolute and unconditional convergence in normed linear spaces Proc. Nat. Acad. Sci. USA 36 1950 192-197
    • (1950) Proc. Nat. Acad. Sci. USA , vol.36 , pp. 192-197
    • Dvoretzky, A.1    Rogers, C.A.2
  • 15
    • 0006578681 scopus 로고
    • A theorem on convex bodies and applications to Banach spaces
    • Dvoretzky A. A theorem on convex bodies and applications to Banach spaces Proc. Nat. Acad. Sci. USA 45 1959 223-226
    • (1959) Proc. Nat. Acad. Sci. USA , vol.45 , pp. 223-226
    • Dvoretzky, A.1
  • 18
    • 3042708308 scopus 로고
    • Collection of papers dedicated to S.M. Nikol'skii on the occasion of his 70th birthday
    • Proc. Math. Inst. USSR Acad. Sci. 134 1975 Collection of papers dedicated to S.M. Nikol'skii on the occasion of his 70th birthday
    • (1975) Proc. Math. Inst. USSR Acad. Sci. , vol.134


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.