非自伴随friedrichs模型算子的一些谱性质

Mathematical Proceedings of the Royal Irish Academy Pub Date : 1900-01-01 DOI:10.3318/PRIA.2005.105.2.25

A. Kiselev

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引用次数: 6

摘要

考虑了L2(R)中扰动的行列式为半平面C§上的外函数时的非自伴随的秩一Friedrichs模型算子。研究了其光谱结构。研究了线性溶剂生长条件对其光谱性质(包括相似问题)的影响。

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SOME SPECTRAL PROPERTIES OF THE NON-SELF-ADJOINT FRIEDRICHS MODEL OPERATOR

A non-self-adjoint, rank-one Friedrichs model operator in L2(R) is considered in the case where the determinant of perturbation is an outer function in the half-planes C§. Its spectral structure is investigated. The impact of the linear resolvent growth condition on its spectral properties (including the similarity problem) is studied.

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Mathematical Proceedings of the Royal Irish Academy

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