Eva Matou\v {s}kov\'a
The Banach-Saks property and Haar null sets

Comment.Math.Univ.Carolinae 39,1 (1998) 71-80.

Abstract:A characterization of Haar null sets in the sense of Christensen is given. Using it, we show that if the dual of a Banach space $X$ has the Banach-Saks property, then closed and convex subsets of $X$ with empty interior are Haar null.

Keywords: Banach space, convexity, Haar null set
AMS Subject Classification: Primary 46B20; Secondary 28A75