Product Formulae for Non-Autonomous Gibbs Semigroups

Valentin A. Zagrebnov ()
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Valentin A. Zagrebnov: Centre de Mathématiques et Informatique—Technopôle Château-Gombert

A chapter in Mathematical Analysis in Interdisciplinary Research, 2021, pp 1049-1060 from Springer

Abstract: Abstract We consider linear evolution corresponding to non-autonomous Gibbs semigroup on a separable Hilbert space ℌ $$\mathfrak {H}$$ . It is shown that evolution family {U(t, s)}0≤s≤t≤T solving the non-autonomous Cauchy problem can be approximated in the trace-norm topology by product formulae. The rate of convergence of product formulae approximants {U n(t, s)}{0≤s

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84721-0_40

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DOI: 10.1007/978-3-030-84721-0_40

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