Data: Mercoledì 20 Giugno 2007, ore 16.00
Luogo: Aula 1201, Dip. Matematica, U. Roma "Tor Vergata"
Speaker: Prof. Ronald Speicher, University of Kingston, Canada
Titolo: STRONG HAAGERUP INEQUALITIES
Abstract: In a holomorphic context, some analytic inequalities improve when restricted to a holomorphic subalgebra. We are exploiting this phenomena in a non-commutative situation. Concretely, we show that one can improve Haagerup's classical inequality for norms of convolution operators on the free group if one restricts to operators which involve only the generators (but not their inverses) of the free group. The proof relies on a good understanding of moments of the involved operators and is mainly combinatorial. This is joint work with Todd Kemp.