Characterization of operators of positive scalar type
- Let \(X\) be a Banach lattice. Necessary and sufficient conditions for a linear operator \(A:D(A) \to X\), \(D(A)\subseteq X\), to be of positive \(C^0\)-scalar type are given. In addition, the question is discussed which conditions on the Banach lattice imply that every operator of positive \(C^0\)-scalar type is necessarily of positive scalar type.
Author: | Peter Vieten |
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URN: | urn:nbn:de:hbz:386-kluedo-7560 |
Document Type: | Article |
Language of publication: | English |
Year of Completion: | 1999 |
Year of first Publication: | 1999 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/04/03 |
Tag: | Banach lattice; Scalar type operator |
Source: | Proceedings of the Prague Mathematical Conference 1996, Prague (1996), 331-336. |
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 |