arXiv:math/0601556 Abstract

arXiv:math/0601556 [math.FA]Abstract References Reviews Resources

Games in Banach spaces

Published 2006-01-23, updated 2010-10-31Version 4

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.

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

Journal: Topology and its Applications 156 (2008), 56-60

DOI: 10.1016/j.topol.2008.04.009

Categories: math.FA, math.LO

Keywords: infinite dimensional banach spaces, aronszajn-null sets generalizes, lebesgue measure zero, ensuing open problems, basic properties

Tags: journal article

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