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Title of Journal: Isr J Math

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Abbravation: Israel Journal of Mathematics

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The Hebrew University Magnes Press

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DOI

10.1016/0165-4608(86)90377-8

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1565-8511

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Random matrices and subexponential operator spaces

Authors: Gilles Pisier
Publish Date: 2015/03/21
Volume: 203, Issue: 1, Pages: 223-273
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Abstract

We introduce and study a generalization of the notion of exact operator space that we call subexponential Using Random Matrices we show that the factorization results of Grothendieck type that are known in the exact case all extend to the subexponential case but we exhibit a continuum of distinct examples of nonexact subexponential operator spaces as well as a Calgebra that is subexponential with constant 1 but not exact We also show that OH R + C and maxℓ2 or any other maximal operator space are not subexponential

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  1. Characterizing stable complete Erdős space
  2. On prime ideals of noetherian skew power series rings
  3. Classification of quasifinite $$\mathcal{W}_\infty $$ -modules-modules
  4. Classification of quasifinite $$\mathcal{W}_\infty $$ -modules-modules
  5. De Rham theorem for Schwartz functions on Nash manifolds
  6. An integral representation for topological pressure in terms of conditional probabilities
  7. Ribet bimodules and the specialization of Heegner points
  8. Maximally stable Gaussian partitions with discrete applications
  9. Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces
  10. Homogeneity and local symmetry of complex ( κ , µ)-spaces
  11. Binary forms as sums of two squares and Châtelet surfaces
  12. On two Hamilton cycle problems in random graphs
  13. Derivatives for smooth representations of GL ( n , ℝ) and GL ( n , ℂ)
  14. Weak mixing and unique ergodicity on homogeneous spaces
  15. Invariant random subgroups of lamplighter groups
  16. Webb’s conjecture for fusion systems
  17. Partitions of nonzero elements of a finite field into pairs
  18. On typical properties of Hilbert space operators
  19. The unramified computation of Rankin-Selberg integrals for SO 2 l × GL n
  20. On a question of Sárközy on gaps of product sequences
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