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arXiv · 1604.06950

Game-theoretic characterization of the Gurarii space

W. Kubiś
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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.

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W. Kubiś. 2016-04-23. Game-theoretic characterization of the Gurarii space. https://doi.org/10.1007/s00013-017-1088-2

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