On Asymptotic Models in Banach Spaces

  title={On Asymptotic Models in Banach Spaces},
  author={Lorenz Halbeisen and Edward Odell},
A well known application of Ramsey’s Theorem to Banach Space Theory is the notion of a spreading model (ẽi) of a normalized basic sequence (xi) in a Banach space X. We show how to generalize the construction to define a new creature (ei), which we call an asymptotic model of X. Every spreading model of X is an asymptotic model of X and in most settings… CONTINUE READING