This is an announcement for the paper "Strictly singular non-compact operators on a class of HI spaces" by Antonis Manoussakis and Anna Pelczar-Barwacz.

Abstract: We present a method for constructing bounded strictly singular non-compact operators on mixed Tsirelson spaces defined either by the families (A_n) or (S_n) of a certain class, as well as on spaces built on them, including hereditarily indecomposable spaces.

Archive classification: math.FA

Mathematics Subject Classification: 46B20, 46B15

Remarks: 19 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/1203.0243

or

http://arXiv.org/abs/1203.0243