This is an announcement for the paper "Some representation theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis" by Piotr Wilczek.

Abstract: In this paper it will be shown that assuming the Continuum Hypothesis (CH) every nonreflexive Banach space ultrapower is isometrically isomorphic to the space of continuous, bounded and real-valued functions on the Parovicenko space. This Representation Theorem will be helpful in proving some facts from geometry and topology of nonreflexive Banach space ultrapowers.

Archive classification: math.LO math.FA

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

Remarks: 12 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/1107.1693

or

http://arXiv.org/abs/1107.1693