Functional Analysis and Applications Seminar 

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.