This is an announcement for the paper "Types of tightness in spaces with unconditional basis" by A. Manoussakis and A. 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, but contrary to the recently constructed space of type (4) also tight with constants, thus essentially extending the list of known examples in Gowers classification program. The space is defined on the base on a boundedly modified mixed Tsirelson space with use of a special coding function.

Archive classification: math.FA

Mathematics Subject Classification: 46B03

Submitted from: amanousakis@isc.tuc.gr

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

http://front.math.ucdavis.edu/1303.2370

or

http://arXiv.org/abs/1303.2370