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A generalization of sectorial and quasi-sectorial operators

✍ Scribed by Vygantas Paulauskas

Book ID
113710217
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
218 KB
Volume
262
Category
Article
ISSN
0022-1236

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πŸ“œ SIMILAR VOLUMES

Operator-Norm Approximation of Semigroup
Operator-Norm Approximation of Semigroups by Quasi-sectorial Contractions
✍ 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