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spectral theorem

  • 谱定理:在线性代数和泛函分析中,谱定理是关于正规算子(特别是自伴算子和正算子)在希尔伯特空间上的一类重要定理,描述了正规算子可以被一组正交特征向量对角化的性质。

专业释义英英释义

  • 谱定理 - 引用次数:6

    参考来源 - 关于算子矩阵谱配置及方根与范数不等式相关问题研究

·2,447,543篇论文数据,部分数据来源于NoteExpress

Spectral theorem

  • abstract: In mathematics, particularly linear algebra and functional analysis, the spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides conditions under which an operator or a matrix can be diagonalized (that is, represented as a diagonal matrix in some basis).

以上来源于: WordNet

双语例句

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

    尝试引用光谱定理得到正规算子非平凡不变子空间的结论。

    youdao

  • 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.

    摘要通过积分算子估计作者给出了一线性微分差分方程边值条件下存在唯一性定理

    youdao

  • 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.

    通过余弦算子函数生成性质讨论,建立了局部等度连续余弦算子函数映象定理

    youdao

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