"Toeplitz C*-Algebra on the Hardy Space"







(Bilkent University)




Abstract: Let H2 be the Hardy space consisting of holomorphic functions f(z)=Snanzn on the unit disc. Let S be the operator of multiplication by z (the shift operator) on H2. The C*-algebra T generated by S consists of all

operators of the form Tf+K, where Tf is a Toeplitz  operator with continuous symbol f, and K is a compact operator, both on H2. Further, T fits in a short exact sequence of C*-algebras and *-homomorphisms.



Tea and cookies will be served before the seminar.




Date:  Thursday, April 26, 2007

Time: 14.40

Place: Mathematics Seminar Room, SA-141