The second regularized trace of even order differential operators with operator coefficient

Özlem Baksia, Yonca Sezer

In this paper, we investigate the spectrum of the self adjoint operator L defined by L := (−1) r d 2r dx 2r + A + Q(x), where A is a self adjoint operator, Q(x) is a nuclear operator in a separable Hilbert space, and we derive asymptotic formulas for the sum of eigenvalues of the operator L