### 摘要

We study containment regions of the numerical range of the product of operators A and B such that W(A) and W(B) are line segments. It is shown that the containment region is equal to the convex hull of elliptical disks determined by the spectrum of AB, and conditions on A and B for the set equality holding are obtained. The results cover the case when A and B are self-adjoint operators extending the previous results on the numerical range of the product of two orthogonal projections.

原文 | English |
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文章編號 | 11-12 |

頁（從 - 到） | 171-180 |

頁數 | 10 |

期刊 | Operators and Matrices |

卷 | 11 |

發行號 | 1 |

DOIs | |

出版狀態 | Published - 1 三月 2017 |

## 指紋 深入研究「Numerical ranges of the product of operators」主題。共同形成了獨特的指紋。

## 引用此

Du, H., Li, C. K., Wang, K-Z., Wang, Y., & Zuo, N. (2017). Numerical ranges of the product of operators.

*Operators and Matrices*,*11*(1), 171-180. [11-12]. https://doi.org/10.7153/oam-11-12