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Approximation inL1-Norm by Elements of a Uniform Algebra

✍ Scribed by D. Khavinson; F. Pérez-González; H. S. Shapiro


Publisher
Springer
Year
1997
Tongue
English
Weight
116 KB
Volume
14
Category
Article
ISSN
0176-4276

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Operator-Norm Approximation of Semigroup
✍ 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