Games in Banach spaces

Mathematics – Functional Analysis

Scientific paper

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Submitted version; only pdf version works (use pdflatex on the sourcefile)

Scientific paper

10.1016/j.topol.2008.04.009

The notion of Aronszajn-null sets generalizes the notion of Lebesgue measure
zero on the real line and the Euclidean space to infinite dimensional Banach
spaces.
We present a game-theoretic approach to Aronszajn-null sets, establish its
basic properties, and discuss the ensuing open problems.

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