Skip to main content
3 of 3
added (ultrapowers) tag
Martin Sleziak
  • 4.7k
  • 4
  • 35
  • 40

About reflexivity of ultrapower

It is obvious that for a Banach space $E$, $E$ is reflexive iff $\ell^2(E)$ is reflexive. Let $\mathcal U$ be an ultrafilter. Is the reflexivity of $(E)_\mathcal U$ equivalent to refelxivity of $(\ell^2(E))_\mathcal U$?

MSMalekan
  • 2.1k
  • 1
  • 10
  • 19