Game-theoretic characterization of the Gurarii space
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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 Gurariĭ space.
KeywordsNormed space Banach–Mazur game Gurariĭ space Eve
Mathematics Subject Classification46B04 46B06 46B25
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