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Volumn 104, Issue 6, 1997, Pages 497-504

Approximate isometries on Euclidean spaces

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EID: 0031500021     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2975077     Document Type: Article
Times cited : (33)

References (14)
  • 1
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    • Bourgin, D.G.1
  • 2
    • 84972507014 scopus 로고
    • Approximately isometric and multiplicative transformations on continuous function rings
    • D. G. Bourgin, Approximately isometric and multiplicative transformations on continuous function rings, Duke Math. J. 16 (1949), 385-397.
    • (1949) Duke Math. J. , vol.16 , pp. 385-397
    • Bourgin, D.G.1
  • 3
    • 84968520184 scopus 로고
    • Two dimensional ε-isometries
    • D. G. Bourgin, Two dimensional ε-isometries, Trans. Amer. Math. Soc. 244 (1978), 85-102.
    • (1978) Trans. Amer. Math. Soc. , vol.244 , pp. 85-102
    • Bourgin, D.G.1
  • 4
    • 84968484945 scopus 로고
    • Approximate isometrics on finite dimensional Banach spaces
    • R. D. Bourgin, Approximate isometrics on finite dimensional Banach spaces, Trans. Amer. Math. Soc. 207 (1975), 309-328.
    • (1975) Trans. Amer. Math. Soc. , vol.207 , pp. 309-328
    • Bourgin, R.D.1
  • 5
    • 0011334219 scopus 로고
    • Sur les transformations isométriques des espaces du type (F)
    • Z. Charzyński, Sur les transformations isométriques des espaces du type (F), Studia Math. 13 (1953), 94-121.
    • (1953) Studia Math. , vol.13 , pp. 94-121
    • Charzyński, Z.1
  • 7
    • 84966224060 scopus 로고
    • Stability of isometrics on Banach spaces
    • J. Gevirtz, Stability of isometrics on Banach spaces, Proc. Amer. Math. Soc. 89 (1983), 633-636.
    • (1983) Proc. Amer. Math. Soc. , vol.89 , pp. 633-636
    • Gevirtz, J.1
  • 8
    • 0001270129 scopus 로고
    • Stability of isometrics
    • P. M. Gruber, Stability of isometrics, Trans. Amer. Math. Soc. 245 (1978), 263-277.
    • (1978) Trans. Amer. Math. Soc. , vol.245 , pp. 263-277
    • Gruber, P.M.1
  • 10
    • 0001242920 scopus 로고
    • On approximate isometrics on the space of continuous functions
    • D. H. Hyers and S. M. Ulam, On approximate isometrics on the space of continuous functions, Ann. of Math. 48 (1947), 285-289.
    • (1947) Ann. of Math. , vol.48 , pp. 285-289
    • Hyers, D.H.1    Ulam, S.M.2
  • 11
    • 0001068952 scopus 로고
    • Non linear perturbations of isometrics
    • J. Lindenstrauss and A. Szankowski, Non linear perturbations of isometrics, Asterisque 131 (1985), 357-371.
    • (1985) Asterisque , vol.131 , pp. 357-371
    • Lindenstrauss, J.1    Szankowski, A.2
  • 13
    • 0001616013 scopus 로고
    • Sur les transformations isométriques d'espaces vectoriels normés
    • S. Mazur and S. Ulam, Sur les transformations isométriques d'espaces vectoriels normés, C. R. Acad. Sci. Paris 194 (1932), 946-948.
    • (1932) C. R. Acad. Sci. Paris , vol.194 , pp. 946-948
    • Mazur, S.1    Ulam, S.2
  • 14
    • 21844520339 scopus 로고
    • On non linear perturbations of isometrics
    • M. Omladič and P. Šemrl, On non linear perturbations of isometrics, Math. Ann. 303 (1995), 617-628.
    • (1995) Math. Ann. , vol.303 , pp. 617-628
    • Omladič, M.1    Šemrl, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.