[Banach] Abstract of a paper by Joanna Garbulinska-Wegrzyn and Wieslaw Kubis

This is an announcement for the paper "A universal operator on the Gurarii space" by Joanna Garbulinska-Wegrzyn and Wieslaw Kubis.

Abstract: We construct a nonexpansive linear operator on the Gurarii space that ``captures" all nonexpansive linear operators between separable Banach spaces. Some additional properties involving its restrictions to finite-dimensional subspaces describe this operator uniquely up to an isometry.

Archive classification: math.FA

Mathematics Subject Classification: 47A05, 47A65, 46B04

Remarks: 17 pages

Submitted from: kubis@math.cas.cz

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

http://front.math.ucdavis.edu/1310.2380

or

http://arXiv.org/abs/1310.2380