[Banach] Abstract of a paper by Spiros A. Argyros, Antonis Manoussakis, and Anna Pelczar-Barwacz

This is an announcement for the paper "A type (4) space in (FR)-classification" by Spiros A. Argyros, Antonis Manoussakis, and Anna Pelczar-Barwacz.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B03

Remarks: 14 pages

Submitted from: anna.pelczar@im.uj.edu.pl

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1206.0651

or

http://arXiv.org/abs/1206.0651