99-42 Cachia V., Zagrebnov V.A.

Operator-norm convergence of the Trotter product formula for holomorphic semigroups (39K, LATeX 2e) Feb 3, 99

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Abstract. We study the error estimates in operator norm for the Trotter product formula. It is shown that some recent results in this direction can be extended to non-self-adjoint generators and to the case of a Banach space for a class of holomorphic semigroups.

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