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1·The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.

尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。

2·In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.

摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。

3·By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.

通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。

4·In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.

通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。

5·The spectral transfer function of the imaging spectrometer is defined on the basis of the linear system theorem.

根据光学传递函数理论，定义了光谱成像仪的光谱传递函数。