Cachia V., Zagrebnov V.
Trotter Product Formula for Nonself-Adjoint Gibbs
Semigroups.
(32K, LATeX)
ABSTRACT. We prove the trace-norm convergence of the Trotter product formula for
nonself-adjoint Gibbs semigroups. For any m-sectorial generators A and B
such that exp(-t ReA) is in the trace-class for t > 0, the Trotter
product
formula converges in the trace-norm. With smallness conditions on B with
respect to A, we give error bound estimates of the convergence rate in
this topology.