English

Uniform upper estimates and the repeated averages hierarchy

Functional Analysis 2020-03-26 v1

Abstract

We use the repeated averages hierarchy to prove a Ramsey theorem regarding uniform upper estimates of convex block sequences of weakly null sequences. The base case of the theorem recovers a result of Freeman.

Keywords

Cite

@article{arxiv.2003.11166,
  title  = {Uniform upper estimates and the repeated averages hierarchy},
  author = {R. M. Causey},
  journal= {arXiv preprint arXiv:2003.11166},
  year   = {2020}
}
R2 v1 2026-06-23T14:26:15.279Z