English

A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space

Functional Analysis 2007-05-23 v1

Abstract

A Hereditarily Indecomposable asymptotic 2\ell_2 Banach space is constructed. The existence of such a space answers a question of B. Maurey and verifies a conjecture of W.T. Gowers.

Keywords

Cite

@article{arxiv.math/0601778,
  title  = {A Hereditarily Indecomposable asymptotic $\ell_2$ Banach space},
  author = {G. Androulakis and K. Beanland},
  journal= {arXiv preprint arXiv:math/0601778},
  year   = {2007}
}

Comments

29 pages

R2 v1 2026-07-22T17:30:55.371Z