most citedA new infinite game in Banach spaces with applications

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math.FA2007

Banach spaces of bounded Szlenk index

Edward Odell, Thomas Schlumprecht, András Zsák

For a countable ordinal a we denote by C_a the class of separable, reflexive Banach spaces whose Szlenk index and the Szlenk index of their dual are bounded by a. We show that each…

math.FA2007★ 1 cited

A new infinite game in Banach spaces with applications

Edward Odell, Thomas Schlumprecht, András Zsák

We consider the following two-player game played on a separable, infinite-dimensional Banach space X. Player S chooses a positive integer k_1 and a finite-codimensional subspace X_…