15/04/2011, 15:00 — 16:00 — Room P3.10, Mathematics Building
Pedro A. Santos, Instituto Superior Técnico, UTL
The Calkin algebra generated by a flip, multiplication and
convolution operators
A description of the Calkin algebra generated by multiplication,
Wiener-Hopf and Hankel operators has been known for some time. More
recently, those results were generalized to the Calkin algebra
generated by a flip, multiplication and convolution operators, with
the use of non-commutative Gelfand theories, homogenization and
flip-elimination techniques. Unfortunately the flip-elimination
technique fails when studying, to get stability conditions, the
local algebras obtained when a finite section or spline projection
sequence is added, in \(L_p\). In this talk the problem will be
discussed, and possible solutions given.