[Banach] Abstract of a paper by Joanna Garbulinska

This is an announcement for the paper "Isometric uniqueness of a complementably universal Banach space for Schauder decompositions" by Joanna Garbulinska.

Abstract: We present an isometric version of the complementably universal Banach space $\mathbb{P}$ with a Schauder decomposition. The space $\mathbb{P}$ 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

Submitted from: jgarbulinska@ujk.edu.pl

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

http://front.math.ucdavis.edu/1211.2211

or

http://arXiv.org/abs/1211.2211