On Local Spectral Properties of Hamilton Type Operators

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
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Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Operators
Theoretical
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description 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.
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subjects Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Operators
Theoretical
title On Local Spectral Properties of Hamilton Type Operators
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