Talk:Fredholm operator

Is there really the limitation to Hilbert spaces, here? I'd have thought this was a Banach space definition.

Charles Matthews 12:41, 11 Nov 2003 (UTC)

Connection with Hilbert 16th
I moved this text from the article here.

There is an " index interpretation" for the number of closed trajectories of a Lienard vector field as in this arxived note.It suggests a possible relation between the second part of the Hilbert 16th problem and index theory: http://arxiv.org/abs/math.DS/0408037

I'm not confortable with citing a paper in the arXiv because it doesn't do peer review. Can this paper be considered a reliable source? -- Jitse Niesen (talk) 00:06, 9 November 2006 (UTC)