Operator-Norm Convergence of the Trotter Product Formula for Sectorial Generators |
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| Authors: | Cachia Vincent Zagrebnov Valentin A. |
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| Affiliation: | (1) Centre de Physique Théorique, CNRS Luminy, case 907, F-13288 Marseille Cedex 9, and;(2) Université de la Méditerranée (Aix-Marseille II), France |
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| Abstract: | The operator-norm convergence of the Trotter product formula is known for self-adjoint semigroups with compactness or smallness conditions on the generators involved in this formula. We generalize these two types of results to sectorial generators. |
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| Keywords: | Trotter product formula operator-norm convergence holomorphic semigroups sectorial operators |
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