01-93 Cachia V., Zagrebnov V.
Trotter Product Formula for Nonself-Adjoint Gibbs Semigroups. (32K, LATeX) Mar 7, 01
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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.

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