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.

Corso R. (2019). Maximal Operators with Respect to the Numerical Range. COMPLEX ANALYSIS AND OPERATOR THEORY, 13(3), 781-800 [10.1007/s11785-018-0805-6].

Maximal Operators with Respect to the Numerical Range

Corso R.
2019-01-01

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 MAT/05 - Analisi Matematica
Corso R. (2019). Maximal Operators with Respect to the Numerical Range. COMPLEX ANALYSIS AND OPERATOR THEORY, 13(3), 781-800 [10.1007/s11785-018-0805-6].
File in questo prodotto:
File Dimensione Formato  
Maximal Operators with Respect to the Numerical Range.pdf

Solo gestori archvio

Tipologia: Versione Editoriale
Dimensione 520.63 kB
Formato Adobe PDF
520.63 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/414746
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 4
social impact