Volume estimates and nearly euclidean decompositions for normed spaces

S. J. Szarek

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980)

  • page 1-8

How to cite

top

Szarek, S. J.. "Volume estimates and nearly euclidean decompositions for normed spaces." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980): 1-8. <http://eudml.org/doc/109234>.

@article{Szarek1979-1980,
author = {Szarek, S. J.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {volume estimates; nearly Euclidean decompositions; unconditional-basis- constant; isometric invariant; volume ratio; Haar integral; John ellipsoid; cotype; Banach-Mazur distance},
language = {eng},
pages = {1-8},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Volume estimates and nearly euclidean decompositions for normed spaces},
url = {http://eudml.org/doc/109234},
year = {1979-1980},
}

TY - JOUR
AU - Szarek, S. J.
TI - Volume estimates and nearly euclidean decompositions for normed spaces
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 8
LA - eng
KW - volume estimates; nearly Euclidean decompositions; unconditional-basis- constant; isometric invariant; volume ratio; Haar integral; John ellipsoid; cotype; Banach-Mazur distance
UR - http://eudml.org/doc/109234
ER -

References

top
  1. [1] T. Figiel: On the moduli of convexity and smoothness, Studia Math.56 (1976), 121-155. Zbl0344.46052MR425581
  2. [2] T. Figiel W.B. Johnson: Large subspaces of l∞n and estimates of the Gordon-Lewus constant, preprint, January 1980. 
  3. [3] T. Figiel, S. Kwapien, A. Pełczynski: Sharp estimates for the constant of local unconditional structure of Minkowski spaces, Bull. Acad. Sc. Polon.25 (1977) 1221-1226. Zbl0379.46012
  4. [4] T. Figiel, J. Lindenstrauss, V. Millman: On dimensions of almost spherical sections of convex bodies, Acta Math.139 (1977) 53-94. Zbl0375.52002MR445274
  5. [5] I.C. Gohberg, M.G. Krein: Introduction to the theory of linear non-selfadjoint operators, A.M.S. Trans., vol. 18. Zbl0181.13504
  6. [6] B.S. Kashin: Sections of some finite dimensional sets and classes of smooth functions, Izv. Acad. Nauk SSSR, ser. mat.41 (1977), 334-351 (Russian). MR481792
  7. [7] S.J. Szarek: On Kashin's almost Euclidean orthogonal decomposition of l1n,, Bull. Acad. Sc. Polon.26 (1978). Zbl0395.46015MR518996
  8. [8] S.J. Szarek, N. Tomczak-Jaegermann: On nearly Euclidean decompositions for some classes of Banach spaces, Compositio Math., to appear. Zbl0432.46018MR571056

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.