RANDOM MATRICES AND SUBEXPONENTIAL OPERATOR SPACES Academic Article uri icon

abstract

  • 2014, Hebrew University of Jerusalem. 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 non-exact subexponential operator spaces, as well as a C*-algebra that is subexponential with constant 1 but not exact. We also show that OH, R + C and max(2) (or any other maximal operator space) are not subexponential.

published proceedings

  • ISRAEL JOURNAL OF MATHEMATICS

author list (cited authors)

  • Pisier, G.

citation count

  • 2

complete list of authors

  • Pisier, Gilles

publication date

  • January 2014