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Stabilized asymptotic structures and envelopes in banach spaces

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References

  1. Habala P., Tomczak-Jaegermann N. Finite representability of lp in quotients of Banach spaces. Positivity, to appear

    Google Scholar 

  2. Knaust H., Odell E., Schlumprecht Th. On asymptotic structure, the Szlenk index and UKK properties in Banach spaces. Preprint

    Google Scholar 

  3. Lindenstrauss J., Tzafriri L. (1977) Classical Banach Spaces I, Sequence Spaces, Springer Verlag

    Google Scholar 

  4. Maurey B., Milman V.D., Tomczak-Jaegermann N. (1995) Asymptotic infinite-dimensional theory of Banach spaces. GAFA Israeli Seminar, Birkhauser Verlag, 149–175

    Google Scholar 

  5. Milman V.D. (1969) Spectrum of continuous bounded functions on the unit sphere of a Banach space. Funct. Anal. Appl. 3:67–79

    MathSciNet  Google Scholar 

  6. Milman V.D. (1971) The geometric theory of Banach spaces, Part II, Usp. Mat. Nauk 26:73–149 (in Russian), (English translation: Russian Math. Surveys 26:79–163)

    MathSciNet  Google Scholar 

  7. Milman V.D., Sharir M. (1979) Shrinking minimal systems and complementation of l n p -spaces in reflexive Banach spaces. Proc. London Math. Soc. 39:1–29

    Article  MathSciNet  MATH  Google Scholar 

  8. Milman V.D., Tomczak-Jaegermann N. (1993) Asymptotic l p spaces and bounded distortions. In: Banach Spaces, Contemp. Math. 144:173–196

    Article  MathSciNet  MATH  Google Scholar 

  9. Odell E. On subspaces, asymptotic structure and distortion of Banach spaces; connections with logic. In: Analysis and Logic, Proc. of Conf. Mons, 1997. LMS Lecture Notes in Mathematics, Cambridge University Press, to appear

    Google Scholar 

  10. Odell E., Schlumprecht T. (1993) The distortion of Hilbert space. Geom. Functional Anal. 3:201–207

    Article  MathSciNet  MATH  Google Scholar 

  11. Odell E., Schlumprecht T. (1994) The distortion problem. Acta Math. 173:259–281

    Article  MathSciNet  MATH  Google Scholar 

  12. Odell E., Schlumprecht T. Trees and branches in Banach spaces. Preprint

    Google Scholar 

  13. Tsirelson B.S. (1974) Not every Banach space contains l p or c 0. Functional Anal. Appl. 8:138–141

    Article  Google Scholar 

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Vitali D. Milman Gideon Schechtman

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© 2000 Springer-Verlag

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Milman, V.D., Tomczak-Jaegermann, N. (2000). Stabilized asymptotic structures and envelopes in banach spaces. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107216

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  • DOI: https://doi.org/10.1007/BFb0107216

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41070-6

  • Online ISBN: 978-3-540-45392-5

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