Department Colloquium

Location: RI 208

Speaker: Remus Floricel, University of Regina

Title:  Product systems arising from Lévy processes

Abstract:

We investigate the structure of product systems of Hilbert spaces derived from Banach space-valued Lévy processes. We establish conditions under which these product systems are completely spatial and show that Wiener processes with non-degenerate covariance always give rise to product systems of type I. Furthermore, we construct a continuum of non-isomorphic product systems of type ${\mathrm{I}\mathrm{I}}_{\mathrm{\infty }}$ from Skellam-type infinite-dimensional compound Poisson processes. Joint work with Peter Wadel.