Homéomorphismes Uniformes Entre les Sphères Unité des Espaces D'Interpolation
Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 286-294

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Si (A 0,A 1) est un couple d'interpolation et si A 0 est uniformément convexe on montre que pour tous θ 1, θ 2 ∊ ]0,1 [ il existe un homéomorphisme uniforme entre la sphère unité de (A 0,A 1)θ 1 et la sphère unité de (A 0, A 1)θ 2.
DOI : 10.4153/CMB-1995-042-8
Mots-clés : 46B42, 46B70
Daher, Mohamad. Homéomorphismes Uniformes Entre les Sphères Unité des Espaces D'Interpolation. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 286-294. doi: 10.4153/CMB-1995-042-8
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[1] 1. Beauzamy, B., Introduction to Banach spaces and their geometry, Notas Mat., North-Holland. Google Scholar

[2] 2. Bergh, J. and Löfström, J., Interpolation spaces, Springer-Verlag Berlin, Heidelberg, New York, 1976. Google Scholar

[3] 3. Bergh, J., On the relation between the two complex methods of interpolation, Indiana Univ. Math. J. 28 (1979), 775–777. Google Scholar

[4] 4. Calderon, A. P., Intermediate spaces and interpolation the complex method, Studia Math. 24(1964), 113—190. Google Scholar

[5] 5. Chaatit, F., On uniform homeomorphisms of the unit spheres of certain Banach Lattices, à paraître. Google Scholar

[6] 6. Cwikel, M., Complex interpolation spaces, a discrete definition and reiteration, Indiana Univ. Math. J., (1978), 1005-1009. Google Scholar

[7] 7. Cwikel, M. and Reisner, S., Interpolation of uniformly convex Banach spaces, Proc. Amer. Math. Soc. 84(1982), 555–559. Google Scholar

[8] 8. Diestel, J. and Uhl, J. J., Vector measures, Math. Surveys 15, Amer. Math. Soc., 1977. Google Scholar

[9] 9. Enflo, P., On a problem ofSmirnov, Ark. Mat. 8(1969), 107–109. Google Scholar

[10] 10. Figiel, T. et Pisier, G., Séries aléatoires dans les espaces uniformément convexes ou uniformément lisses, C. R. Acad. Sci. Paris (A) 279(1974), 611—614. Google Scholar

[11] 11. Haagerup, U. and Pisier, G., Factorization of analytic functions with values in non-commutative L\-spaces and applications, Canad. J. Math. XLI(1989), 882–906. Google Scholar

[12] 12. Kalton, N. J., communication personnelle. Google Scholar

[13] 13. Lindenstrauss, J. etTzafriri, L., Classical Banach spaces, Vol.2, Ergeb. Math. Grenzgeb. 97, Springer Verlag, 1979. Google Scholar

[14] 14. Maurey, B. et Pisier, G., Séries de variables aléatoires indépendantes et propriétés géométriques des espaces de Banach, Studia Math. 58(1976), 45–90. Google Scholar

[15] 15. Odell, E. et Th. Schlumprecht, The distortion problem, Acta Math., (1995). Google Scholar

[16] 16. Pisier, G., Some applications of the complex interpolation method to Banach Lattices, J. Anal. Math. 35(1979), 264–281. Google Scholar

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