This is an announcement for the paper "An isometrically universal Banach space with a monotone Schauder" by Joanna Garbulinska - Wegrzyn.

Abstract: We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pe\l czy'nski's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property.

Archive classification: math.FA

Mathematics Subject Classification: Primary: 46B04. Secondary: 46M15, 46M40

Remarks: 10 pages

Submitted from: jgarbulinska@ujk.edu.pl

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

http://front.math.ucdavis.edu/1402.2660

or

http://arXiv.org/abs/1402.2660