In a geometric measure theory (GMT) course I'm following this year, the professor told us about the Aronszajn measure, and asked us to go check by ourselves what it reprensents (the course was about measure theory in infinite dimensional Banach space). Unfortunalety, I didn't find on the internet what I was looking for, so I'd like to get some informations about these measures (including the definition), and references if possible.


Edit : Aronszajn measure are not defined, but there is a notion of negligeable sets. The definition is in the article mentionned by M. Peters or Handbook of the Geometry of Banach Spaces
Volume 2 in the section of David Preiss. To be complete, I mention brielfly the definition. if $X$ is an infinite dimensional separable Banach space, and $(a\_n)\_{n\in\mathbb{N}}$ a dense sequence, a Borel subset $E\subset X$ is an Aronzajn null set if $E=\bigcup\_{n\in \mathbb{N}}E\_n$, $E\_n$ is Borel, and for all $x\in X$, $\mathscr{H}^1(E\_n\cap(x+\mathbb{R}a\_n))=0$, where $\mathscr{H}^1$ is the one-dimenional Hausdorff measure.



Aronszajn measure
A look at [mathnet.ru](http://mathnet.ru) yields one paper by Bogachev on this topic. The article by Csörnyei in Israel Journal of Mathematics, December 1999, Volume 111, Issue 1, pp 191-201 and the references therein give further information.


