A short proof of Dvoretzky's theorem on almost spherical sections of convex bodies

T. Figiel

Compositio Mathematica (1976)

  • Volume: 33, Issue: 3, page 297-301
  • ISSN: 0010-437X

How to cite

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Figiel, T.. "A short proof of Dvoretzky's theorem on almost spherical sections of convex bodies." Compositio Mathematica 33.3 (1976): 297-301. <http://eudml.org/doc/89311>.

@article{Figiel1976,
author = {Figiel, T.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {297-301},
publisher = {Noordhoff International Publishing},
title = {A short proof of Dvoretzky's theorem on almost spherical sections of convex bodies},
url = {http://eudml.org/doc/89311},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Figiel, T.
TI - A short proof of Dvoretzky's theorem on almost spherical sections of convex bodies
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 3
SP - 297
EP - 301
LA - eng
UR - http://eudml.org/doc/89311
ER -

References

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  1. [1] A. Dvoretzky: Some results on convex bodies and Banach spaces. Proc. Internat. Symp. on Linear Spaces. Jerusalem (1961) 123-160. Zbl0119.31803MR139079
  2. [2] T. Figiel: Some remarks on Dvoretzky's theorem on almost spherical sections of convex bodies. Coll. Math.24 (1972) 241-252. Zbl0244.28011MR308932
  3. [3] J.L. Krivine: Sur les espaces isomorphes à lp. Seminaire Maurey-Schwartz 1974-75, exposé No. XII. Zbl0309.46010
  4. [4] D.G. Larman and P. Mani: Almost ellipsoidal sections and projections of convex bodies. Math. Proc. Camb. Phil. Soc.77 (1975) 529-546. Zbl0318.52006MR377697
  5. [5] V.D. Milman: New proof of the theorem of Dvoretzky on sections of convex bodies. Funkcional. Anal. i Prilozen5 (1971) 28-37. Zbl0239.46018MR293374
  6. [6] A. Szankowski: On Dvoretzky's theorem on almost spherical sections of convex bodies. Israel J. Math.17 (1974), 325-338. Zbl0288.52002MR350388
  7. [7] L. Tzafriri: On Banach spaces with unconditional bases. Israel J. Math.17 (1974) 84-92. Zbl0281.46013MR348456

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