无穷维Hamilton算子的本质谱

Abstract

Abstract: In this paper, the essential spectra of infinite dimensional Hamilton operator on Hilbert spaces is studied. Under perturbations belonging to any closed two-sided ideal of the algebra of bounded linear operators contained in the set of Fredholm perturbations, the relationship between the essential spectra of infinite dimensional Hamilton operator and the essential spectra of its Schur complement is given.

Key words: Infinite dimensional Hamilton operator, Essential spectra, Fredholm perturbation

CLC Number:

O177.1

Li Yudan, Wu Deyu, Alatancang. The Essential Spectra of Infinite Dimensional Hamilton Operator[J].Acta mathematica scientia,Series A, 2018, 38(3): 476-483.

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References

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The Essential Spectra of Infinite Dimensional Hamilton Operator

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