Global versus local asymptotic theories of finite-dimensional normed spaces
V. D. Milman and G. Schechtman
Source: Duke Math. J. Volume 90, Number 1
(1997), 73-93.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077232448
Mathematical Reviews number (MathSciNet): MR1478544
Zentralblatt MATH identifier: 0911.52002
Digital Object Identifier: doi:10.1215/S0012-7094-97-09003-7
References
[B] K. Ball, The plank problem for symmetric bodies, Invent. Math. 104 (1991), no. 3, 535–543.
Mathematical Reviews (MathSciNet): MR92c:52003
Zentralblatt MATH: 0702.52003
Digital Object Identifier: doi:10.1007/BF01245089
[Ba] T. Bang, A solution of the “plank problem.”, Proc. Amer. Math. Soc. 2 (1951), 990–993.
Mathematical Reviews (MathSciNet): MR13,769a
Zentralblatt MATH: 0044.37802
Digital Object Identifier: doi:10.2307/2031721
JSTOR: links.jstor.org
[BLM] J. Bourgain, J. Lindenstrauss, and V. D. Milman, Minkowski sums and symmetrizations, Geometric aspects of functional analysis (Israel Seminar, 1986–87), Lecture Notes in Math., vol. 1317, Springer, Berlin, 1988, pp. 44–66.
Mathematical Reviews (MathSciNet): MR89g:46025
Zentralblatt MATH: 0645.52001
Digital Object Identifier: doi:10.1007/BFb0081735
[BM1] J. Bourgain and V. D. Milman, New volume ratio properties for convex symmetric bodies in $\bf R\sp n$, Invent. Math. 88 (1987), no. 2, 319–340.
Mathematical Reviews (MathSciNet): MR88f:52013
Zentralblatt MATH: 0617.52006
Digital Object Identifier: doi:10.1007/BF01388911
[BM2] J. Bourgain and V. D. Milman, Sections euclidiennes et volume des corps symétriques convexes dans $\bf R\sp n$, C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 13, 435–438.
Mathematical Reviews (MathSciNet): MR86i:52006
Zentralblatt MATH: 0576.52002
[FLM] T. Figiel, J. Lindenstrauss, and V. D. Milman, The dimension of almost spherical sections of convex bodies, Acta Math. 139 (1977), no. 1-2, 53–94.
Mathematical Reviews (MathSciNet): MR56:3618
Zentralblatt MATH: 0375.52002
Digital Object Identifier: doi:10.1007/BF02392234
[G] Y. Gordon, Some inequalities for Gaussian processes and applications, Israel J. Math. 50 (1985), no. 4, 265–289.
Mathematical Reviews (MathSciNet): MR87f:60058
Zentralblatt MATH: 0663.60034
Digital Object Identifier: doi:10.1007/BF02759761
[Ka] B. S. Kašin, Orders of the widths of certain classes of smooth functions, Uspehi Mat. Nauk 32 (1977), no. 1(193), 191–192.
Mathematical Reviews (MathSciNet): MR58:29664
Zentralblatt MATH: 0346.46028
[Mi1] V. D. Milman, A new proof of A. Dvoretzky's theorem on cross-sections of convex bodies, Funkcional. Anal. i Priložen. 5 (1971), no. 4, 28–37.
Mathematical Reviews (MathSciNet): MR45:2451
Zentralblatt MATH: 0239.46018
[Mi2] V. D. Milman, Inégalité de Brunn-Minkowski inverse et applications à la théorie locale des espaces normés, C. R. Acad. Sci. Paris Sér. I Math. 302 (1986), no. 1, 25–28.
Mathematical Reviews (MathSciNet): MR87f:52018
Zentralblatt MATH: 0604.52003
[Mi3] V. D. Milman, Spectrum of a position of a convex body and linear duality relations, Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Part II (Ramat Aviv, 1989), Israel Math. Conf. Proc., vol. 3, Weizmann, Jerusalem, 1990, pp. 151–161.
Mathematical Reviews (MathSciNet): MR93f:52005
Zentralblatt MATH: 0705.46005
[Mi4] V. D. Milman, Some applications of duality relations, Geometric aspects of functional analysis (1989–90), Lecture Notes in Math., vol. 1469, Springer, Berlin, 1991, pp. 13–40.
Mathematical Reviews (MathSciNet): MR92h:52009
Zentralblatt MATH: 0818.46016
Digital Object Identifier: doi:10.1007/BFb0089213
[MS] V. D. Milman and G. Schechtman, Asymptotic theory of finite-dimensional normed spaces, Lecture Notes in Mathematics, vol. 1200, Springer-Verlag, Berlin, 1986.
Mathematical Reviews (MathSciNet): MR87m:46038
Zentralblatt MATH: 0606.46013
[Pi] G. Pisier, The volume of convex bodies and Banach space geometry, Cambridge Tracts in Mathematics, vol. 94, Cambridge University Press, Cambridge, 1989.
Mathematical Reviews (MathSciNet): MR91d:52005
Zentralblatt MATH: 0698.46008
[Sc] G. Schechtman, A remark concerning the dependence on $\epsilon$ in Dvoretzky's theorem, Geometric aspects of functional analysis (1987–88), Lecture Notes in Math., vol. 1376, Springer, Berlin, 1989, pp. 274–277.
Mathematical Reviews (MathSciNet): MR91g:46021
Zentralblatt MATH: 0679.46011
Digital Object Identifier: doi:10.1007/BFb0090061
[Schm] M. Schmuckenschläger, On the dependence on $\epsilon$ in a theorem of J. Bourgain, J. Lindenstrauss and V. D. Milman, Geometric aspects of functional analysis (Israel Seminar, 1989–90), Lecture Notes in Math., vol. 1469, Springer, Berlin, 1991, pp. 166–173.
Mathematical Reviews (MathSciNet): MR92i:52005
Zentralblatt MATH: 0780.46019
[ST] S. Szarek and N. Tomczak-Jaegermann, On nearly Euclidean decomposition for some classes of Banach spaces, Compositio Math. 40 (1980), no. 3, 367–385.
Mathematical Reviews (MathSciNet): MR82e:46032
Zentralblatt MATH: 0432.46018
[To] N. Tomczak-Jaegermann, Banach-Mazur distances and finite-dimensional operator ideals, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 38, Longman Scientific & Technical, Harlow, 1989.
Mathematical Reviews (MathSciNet): MR90k:46039
Zentralblatt MATH: 0721.46004
Duke Mathematical Journal