A universal operator on the Gurarii space
Functional Analysis
2015-10-20 v2
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.
Cite
@article{arxiv.1310.2380,
title = {A universal operator on the Gurarii space},
author = {Joanna Garbulińska-Wȩgrzyn and Wiesław Kubiś},
journal= {arXiv preprint arXiv:1310.2380},
year = {2015}
}
Comments
17 pages, extended subsection 2.2. Final version