Spectrum of definite type of self-adjoint operators in Krein spaces
Spectrum of definite type of self-adjoint operators in Krein spaces
复制标题
Kerin空间中定型自伴算子的谱
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
C. Tretter
中科院分区：
文献类型：
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作者：
H. Langer;M. Langer;A. Markus;C. Tretter
对于Krein空间中的自伴算子，我们构造了一个区间[ν，μ]，在此区间外，算子只有定型谱，并具有局部谱函数.因此，对应于[ν，μ]之外的区间的谱子空间允许角算子表示。我们用舒尔补描述角算子域的亏子空间，并推导出在这种确定类型的区间内离散本征值的变分原理。
For a self-adjoint operator in a Krein space we construct an interval [ν, μ] outside of which the operator has only a spectrum of definite type and possesses a local spectral function. As a consequence, a spectral subspace corresponding to an interval outside [ν, μ] admits an angular operator representation. We describe a defect subspace of the domain of the angular operator in terms of the Schur complement, and we derive variational principles for the discrete eigenvalues in such intervals of definite type.