03-431 V.A.Zagrebnov
Trotter-Kato Product Formula: Some Recent Results (175K, Postscript) Sep 18, 03
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Abstract. Recently new results about the operator-norm and the trace-norm convergences of the Trotter-Kato product formulae with ultimate optimal error-bound estimates have been established. They concern the self-adjoint strongly continuous and Gibbs semigroups on Hilbert spaces. Explicit dependence of the rate of convergence on the generators domains is found.

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