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The normed finiteness property of compact contraction operators

✍ Scribed by Yuan-Chuan Li; Mau-Hsiang Shih


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
106 KB
Volume
428
Category
Article
ISSN
0024-3795

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Operator-Norm Approximation of Semigroup
✍ Vincent Cachia; Valentin A. Zagrebnov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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