On Banach Spaces containing $l_p$ or $c_0$

TL;DR

This paper employs the Gowers block Ramsey theorem to characterize Banach spaces that contain isomorphic copies of _p or c_0, providing a new perspective on their structure.

Contribution

It introduces a novel characterization of Banach spaces containing _p or c_0 using the Gowers block Ramsey theorem.

Findings

Characterization of Banach spaces containing _p or c_0

Application of Gowers block Ramsey theorem to Banach space theory

New structural insights into Banach spaces

Abstract

We use the Gowers block Ramsey theorem to characterize Banach spaces containing isomorphs of $\ell_p$ (for some $1 \leq p < \infty$) or $c_0$.