Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Bourgain and J. Lindenstrauss, Projection bodies, This volume.
J. Bourgain, J. Lindenstrauss and V. Milman, Approximation of zonoids by zonotopes, Preprint I.H.E.S., September 1987, 62pp, to appear in Acta Math.
C. Borell, The Brunn-Minkowski inequality in Gauss spaces, Inventiones Math. 30 (1975), 207–216.
P. Diaconis and M. Shahshahani, Products of random matrices as they arise in the study of random walks on groups, Contemporary Math. 50 (1986), 183–195.
T. Figiel, J. Lindenstrauss and V.D. Milman, The dimensions of almost spherical sections of convex bodies, Acta Math. 139 (1977), 53–94.
Y. Gordon, Some inequalities for Gaussian processes and applications, Israel J. Math. 50 (1985), 265–289.
M. Gromov and V.D. Milman, Brunn theorem and a concentration of volume of convex bodies, GAFA Seminar Notes, Israel 1983–1984.
U. Haagerup, The best constants in the Khinchine inequality, Studia Math, 70 (1982), 231–283.
F. John, Extremum problems with inequalities as subsidiary conditions, Courant Anniversary Volume, Interscience, New York, 1948, 187–204.
B.S. Kashin, Sections of some finite dimensional sets and classes of smooth functions, Izv. ANSSSR, ser. mat. 41 (1977), 334–351 (Russian).
J.P. Kahane, Series of Random Functions, Heath Math. Monographs, Lexington, Mass., Heath & Co., 1968.
S. Kwapień, Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients, Studia Math. 44 (1972), 583–595.
J. Lindenstrauss and L. Tzafriri, Classical Banach spaces, vol II, Function spaces, Ergebnisse der Math., v. 97, Springer Verlag 1979.
H. Landau and L. Shepp, On the supremum of a Gaussian process, Sankhya A32 (1970), 369–378.
M.B. Marcus and G. Pisier, Random Fourier series with applications to harmonic analysis, Ann. Math. Studies, 101, Princeton 1981.
V.D. Milman, Random subspaces of proportional dimension of finite dimensional normed spaces: Approach through the isoperimetric inequality, Banach spaces, Proc. Missouri Conference 1984, Springer Lecture Notes #1166, 106–115.
V.D. Milman and G. Pisier, Banach spaces with a weak cotype 2 property, Israel J. Math., 54 (1986), 139–158.
V.D. Milman and G. Schechtman, Asymptotic theory of finite dimensional normed spaces, Springer Lecture Notes #1200 (1986).
G. Schechtman, More on embedding subspaces of L p in ℓ nr , Compositio Math. 61 (1987), 159–170.
S.J. Szarek, On the best constant in the Khinchine inequality, Studia Math. 58 (1976), 197–208.
M. Talagrand, An isoperimetric theorem on the cube and the Khinchine-Kahane inequalities, Preprint.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Bourgain, J., Lindenstrauss, J., Milman, V.D. (1988). Minkowski sums and symmetrizations. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081735
Download citation
DOI: https://doi.org/10.1007/BFb0081735
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19353-1
Online ISBN: 978-3-540-39235-4
eBook Packages: Springer Book Archive