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Stabilizations of the Trotter-Kato theorem and the Chernoff product formula |
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| Authors: | Sarah McAllister Frank Neubrander Armin Reiser Yu Zhuang |
| Institution: | 1. Center for Distance Learning, SUNY Empire State College, Saratoga Springs, NY, 12866, USA 2. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA 3. Department of Computer Science, Texas Tech University, Lubbock, TX, 79409, USA |
| Abstract: | This paper concerns versions of the Trotter-Kato Theorem and the Chernoff Product Formula for C 0-semigroups in the absence of stability. Applications to ${\mathcal{A}}$ -stable rational approximations of semigroups are presented. |
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