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Trotter Product Formula for Non-self-Adjoint Gibbs Semigroups

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Mathematical Analysis and Applications

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 154))

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Abstract

In this note we present the analytic extension method for holomorphic families of the Trotter product formula approximants. It allows to prove the trace-norm convergence of this formula for Gibbs semigroups for the case when the involved non-self-adjoint generators are not subordinated.

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Correspondence to Valentin A. Zagrebnov .

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Zagrebnov, V.A. (2019). Trotter Product Formula for Non-self-Adjoint Gibbs Semigroups. In: Rassias, T., Pardalos, P. (eds) Mathematical Analysis and Applications. Springer Optimization and Its Applications, vol 154. Springer, Cham. https://doi.org/10.1007/978-3-030-31339-5_24

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