[Banach] Abstract of a paper by Piotr Wilczek

This is an announcement for the paper "Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary" by Piotr Wilczek.

Abstract: In this note a large class of primary Banach spaces is characterized. Namely, it will be demonstrated that under the Continuum Hypothesis the ultrapower of any infinite dimensional nonsuperreflexive Banach space is always primary. Consequently, any infinite dimensional nonsuperreflexive Banach space can be isometrically embedded into its primary ultrapowers.

Archive classification: math.LO math.FA

Mathematics Subject Classification: 46B08, 46B20, 46B25

Remarks: 7 pages

Submitted from: edwil@mail.icpnet.pl

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

http://front.math.ucdavis.edu/1107.1692

or

http://arXiv.org/abs/1107.1692