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Four characterizations of scalar-type operators with spectrum in a half-line
- \(C^0\)-scalar-type spectrality criterions for operators \(A\), whose resolvent set contains the negative reals, are provided. The criterions are given in terms of growth conditions on the resolvent of \(A\) and the semi-group generated by \(A\).These criterions characterize scalar-type operators on the Banach space \(X\), if and only if \(X\) has no subspace isomorphic to the space of complex null-sequences.
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| Author: | Peter Vieten |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-7499 |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1997 |
| Year of first Publication: | 1997 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| Tag: | Laplace transform; Moment sequence; Scalar-type operator; Stieltjes transform |
| Source: | Studia Math. 122 (1) (1997),39-54. |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| MSC-Classification (mathematics): | 47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A60 Functional calculus |
| 47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B40 Spectral operators, decomposable operators, well-bounded operators, etc. | |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |