Game-theoretic characterization of the Gurarii space
Functional Analysis
2021-08-25 v2
Abstract
We present a simple and natural infinite game building an increasing chain of finite-dimensional Banach spaces. We show that one of the players has a strategy with the property that, no matter how the other player plays, the completion of the union of the chain is linearly isometric to the Gurarii space.
Keywords
Cite
@article{arxiv.1604.06950,
title = {Game-theoretic characterization of the Gurarii space},
author = {W. Kubiś},
journal= {arXiv preprint arXiv:1604.06950},
year = {2021}
}
Comments
Added new section; minor corrections; 6 pages