## Linear Analysis Seminar

Date: September 22, 2017

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Amudhan Krishnaswamy-Usha, TAMU

Title: Nilpotent elements of operator ideals are single commutators

Abstract: Pearcy and Topping asked in '71 if every compact operator can be written as a single additive commutator [B,C]=BC-CB of compact operators. While the general problem is still open, we show that every nilpotent operator in an operator ideal is a single commutator of operators from some power of the operator ideal; where the exponent depends on the degree of nilpotency. This is joint work with Ken Dykema.