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The Local Spectral Properties of Extended Hamilton Operators

The Local Spectral Properties of Extended Hamilton Operators
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摘要 In this paper, we introduce the class of extended Hamilton operators and study various properties of this class. We examine the decomposability of extended Hamilton operators. In addition, we prove that an extended Hamilton operator with property (δ) is subscalar. Finally, we consider Weyl type theorems of this class. In this paper, we introduce the class of extended Hamilton operators and study various properties of this class. We examine the decomposability of extended Hamilton operators. In addition, we prove that an extended Hamilton operator with property (δ) is subscalar. Finally, we consider Weyl type theorems of this class.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第7期1110-1120,共11页 数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China(Grant No.11601130) the Natural Science Foundation of the Department of Education of He’nan Province(Grant Nos.16A110033 and 17A110005)
关键词 Extended Hamilton operator property (β) DECOMPOSABILITY subscalar operator Weyl's theorem Extended Hamilton operator property (β) decomposability subscalar operator Weyl's theorem
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