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EnglishLet n be a nonempty, proper, convex subset of C. The n-maximal operators are defined as the operators having numerical ranges in n and are maximal with this property. Typical examples of these are the maximal symmetric (or accretive or dissipative) operators, the associated to some sesquilinear forms (for instance, to closed sectorial forms), and the generators of some strongly continuous semi-groups of bounded operators. In this paper the n-maximal operators are studied and some characterizations of these in terms of the resolvent set are given.
Corso R. (2019). Maximal Operators with Respect to the Numerical Range. COMPLEX ANALYSIS AND OPERATOR THEORY, 13(3), 781-800.
| Data di pubblicazione: | 2019 |
| Titolo: | Maximal Operators with Respect to the Numerical Range |
| Autori: | CORSO, Rosario (Corresponding) |
| Citazione: | Corso R. (2019). Maximal Operators with Respect to the Numerical Range. COMPLEX ANALYSIS AND OPERATOR THEORY, 13(3), 781-800. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11785-018-0805-6 |
| Abstract: | Let n be a nonempty, proper, convex subset of C. The n-maximal operators are defined as the operators having numerical ranges in n and are maximal with this property. Typical examples of these are the maximal symmetric (or accretive or dissipative) operators, the associated to some sesquilinear forms (for instance, to closed sectorial forms), and the generators of some strongly continuous semi-groups of bounded operators. In this paper the n-maximal operators are studied and some characterizations of these in terms of the resolvent set are given. |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/414746
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