01-93 Cachia V., Zagrebnov V.

Trotter Product Formula for Nonself-Adjoint Gibbs Semigroups. (32K, LATeX) Mar 7, 01

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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.

Files: 01-93.tex