English

A type (4) space in (FR)-classification

Functional Analysis 2012-06-05 v1

Abstract

We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers' classification program of Banach spaces. The space is an unconditional variant of the Gowers Hereditarily Indecomposable space with asymptotically unconditional basis.

Keywords

Cite

@article{arxiv.1206.0651,
  title  = {A type (4) space in (FR)-classification},
  author = {Spiros A. Argyros and Antonis Manoussakis and Anna Pelczar-Barwacz},
  journal= {arXiv preprint arXiv:1206.0651},
  year   = {2012}
}

Comments

14 pages

R2 v1 2026-06-21T21:13:56.379Z