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
✦ LIBER ✦
Numerical range and quasi-sectorial contractions
✍ Scribed by Yury Arlinskiĭ; Valentin Zagrebnov
- Book ID
- 108178646
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 239 KB
- Volume
- 366
- Category
- Article
- ISSN
- 0022-247X
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## Abstract We find a criterion of existence and uniqueness of an __m__ ‐sectorial extension of a dual pair {__A__ ~1~, __A__ ~2~} of nonnegative operators. A description of the set of all such extensions of a dual pair {__A__ ~1~, __A__ ~2~} is obtained too. A complete description of the set of al