Dvoretzky's theorem for operator spaces Academic Article uri icon

abstract

  • We prove a version of Dvoretzky's theorem for operator spaces. Equivalently, we prove that any infinite dimensional operator space has an ultrapower containing completely isometrically a Hilbertian homogeneous operator space. As an application, we prove a version of the Lindenstrauss-Tzafriri complemented subspace theorem for operator spaces: if every closed subspace of an operator space E is completely boundedly complemented, then E is completely isomorphic to a Hilbertian homogeneous operator space.

author list (cited authors)

  • Pisier, G.

complete list of authors

  • Pisier, G

publication date

  • December 1996