 0193 Cachia V., Zagrebnov V.
 Trotter Product Formula for NonselfAdjoint Gibbs
Semigroups.
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Mar 7, 01

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Abstract. We prove the tracenorm convergence of the Trotter product formula for
nonselfadjoint Gibbs semigroups. For any msectorial generators A and B
such that exp(t ReA) is in the traceclass for t > 0, the Trotter
product
formula converges in the tracenorm. 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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