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Note on the Paper “The Norm Convergence¶ of the Trotter–Kato Product Formula with Error Bound” by Ichinose and Tamura |
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| Authors: | Takashi Ichinose Hideo Tamura Hiroshi Tamura Valentin A Zagrebnov |
| Institution: | Department of Mathematics, Faculty of Science, Kanazawa University, Kanazawa, 920-1192, Japan.?e-mail: ichinose@kenroku.kanazawa-u.ac.jp; tamurah@kenroku.kanazawa-u.ac.jp, JP Department of Mathematics, Faculty of Science, Okayama University, Okayama, 700-8530, Japan.? E-mail: tamura@math.okayama-u.ac.jp, JP Département de Physique, Universitéde la Méditerranée (Aix-Marseille II) and Centre de Physique Théorique, CNRS-Luminy-Case 907, 13288 Marseille Cedex 9, France. e-mail: zagrebnov@cpt.univ-mrs.fr, FR |
| Abstract: | The norm convergence of the Trotter–Kato product formula is established with ultimate optimal error bound for the selfadjoint semigroup generated by the operator sum of two selfadjoint operators. A generalization is also given to the operator sum of several selfadjoint operators. Received: 5 October 2000 / Accepted: 12 March 2001 |
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