On Local Spectral Properties of Hamilton Type Operators

In this paper, we introduce the class of Hamilton type operators and study various properties of this class. We show that every Hamilton type operator with property（β） or（δ） is decomposable. In addition,we prove that a Hamilton type operator T satisfies property（β）, Dunford＇s property（C） and Weyl＇s...

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Veröffentlicht in:	Acta Mathematicae Applicatae Sinica 2018, Vol.34 (1), p.173-182
Hauptverfasser:	Shen, Jun-li, Alatancang
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Operators Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we introduce the class of Hamilton type operators and study various properties of this class. We show that every Hamilton type operator with property（β） or（δ） is decomposable. In addition,we prove that a Hamilton type operator T satisfies property（β）, Dunford＇s property（C） and Weyl＇s theorem if and only if its adjoint does.
ISSN:	0168-9673 1618-3932
DOI:	10.1007/s10255-018-0736-z