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. |