The Local Spectral Properties of Extended Hamilton Operators |
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| Authors: | Jun Li Shen Guo Xing Ji Alatancang |
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| Institution: | 1. College of Mathematics and Information Sciences, Shaanxi Normal University, Xi'an 710062, P. R. China;2. College of Computer and Information Technology, He'nan Normal University, Xinxiang 453007, P. R. China;3. Department of Mathematics, Hohhot Minzu College, Hohhot 010051, P. R. China |
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| Abstract: | 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. |
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| Keywords: | Extended Hamilton operator property(β) decomposability subscalar operator Weyl's theorem |
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