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Fractional powers of self-adjoint operators and Trotter-Kato product formula |
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| Authors: | Hagen Neidhardt Valentin A Zagrebnov |
| Institution: | (1) Fachbereich Mathematik, Universität Potsdam, Postfach 60 15 53, 14 415 Potsdam, Germany;(2) Départment de Physique, Université de la Méditerranée (Aix-Marseille II) and CPT-Luminy, Case 907, 13288 Marseille Cedex 9, France |
| Abstract: | We study error bounds in the operator norm topology for the Trotter-Kato product formula. We prove that they depend on fractional power conditions (domains and relative boundedness) for operators involved in this formula.Dedicated to Professor M.Sh.BIRMAN on the occassion of his 70th birthday. |
| Keywords: | 47D03 47B25 35K22 41A80 |
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