On the spectrum of infinite dimensional random products of compact operators

Details On the spectrum of infinite dimensional random products of compact operators On the spectrum of infinite dimensional random products of compact operators

2007-09-21

arxiv.org/abs/0709.3496v1

Stochastics and Dynamics, vol. 8 - 4, 593-611, 2008

Mathematics

Dynamical Systems

20 pages

Scientific paper

We consider an infinite dimensional separable Hilbert space and its family of compact integrable cocycles over a dynamical system f. Assuming that f acts in a compact Hausdorff space X and preserves a Borel regular ergodic measure which is positive on non-empty open sets, we conclude that there is a residual subset of cocycles within which, for almost every x, either the Oseledets-Ruelle's decomposition along the orbit of x is dominated or has a trivial spectrum.

Affiliated with

Also associated with

No associations

Rating

On the spectrum of infinite dimensional random products of compact operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the spectrum of infinite dimensional random products of compact operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectrum of infinite dimensional random products of compact operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257243