Embedding n-Cubes in Low Dimensional Schatten Classes

  • Jesús Bastero
  • Ana Peña
  • Gideon Schechtman
Conference paper
Part of the Operator Theory Advances and Applications book series (OT, volume 77)


We prove that for some α = α(ε) > 0, the αn2 -cube (1 + ε)-embeds in the Schatten class C n E , for every 1-symmetric n-dimensional normed space E.


Orthogonal Projection Haar Measure Unitary Ideal Real Normed Space Euclidean Scalar Product 
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  1. [B-B]
    Bastero, J., Berimés, J.: Applications of deviation inequalities on finite metric sets, Math. Nach. 153 (1991), 33–41.zbMATHCrossRefGoogle Scholar
  2. [B-B-K]
    Bastero, J., Bernués, J., Kalton, N.: Embedding n -cubes in finite dimensional 1-subsymmetric spaces, Rev. Matemática Univ. Complutense, Madrid 2 (1989), 47–52.Google Scholar
  3. [B-M-W]
    Bourgain, J., Milman, V.D., Wolfson, H.: On type of metric spaces, Transactions AMS 294:1 (1986), 295–317.MathSciNetzbMATHCrossRefGoogle Scholar
  4. [G-K]
    Gohberg, I.C., Krein, M.G.: Introduction to the theory of linear non-selfadjoint operators, AMS, 1969.Google Scholar
  5. [M-S]
    Milman, V., Schechtman, G.: Asymptotic theory of finite dimensional normed spaces, Lect. Notes in Math. 1200. Springer-Verlag 1986.zbMATHGoogle Scholar

Copyright information

© Birkhäuser Verlag Basel/Switzerland 1995

Authors and Affiliations

  • Jesús Bastero
    • 1
  • Ana Peña
    • 1
  • Gideon Schechtman
    • 2
  1. 1.Departamento de Matemáticas Facultad de CienciasUniversidad de ZaragozaZaragozaSpain
  2. 2.Department of Theoretical MathematicsThe Weizmann Institute of ScienceRehovotIsrael

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