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Completeness of quasi-normed operator ideals generated by -numbers

✍ Scribed by Levitina, G.; Pietsch, A.; Sukochev, F.A.; Zanin, D.


Book ID
121283994
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
313 KB
Volume
25
Category
Article
ISSN
0019-3577

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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