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On approximation by operator semigroups of a general type

✍ Scribed by E. Görlich; D. Pontzen

Book ID
112620891
Publisher
Springer
Year
1984
Tongue
English
Weight
676 KB
Volume
136
Category
Article
ISSN
0373-3114

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✍ Vincent Cachia; Valentin A. Zagrebnov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 223 KB

We extend the Chernoff theory of approximation of contraction semigroups aÁ la Trotter. We show that the Trotter Neveu Kato convergence theorem holds in operator norm for a family of uniformly m-sectorial generators in a Hilbert space. Then we obtain a Chernoff-type approximation theorem for quasi-s