The spectrum of the product of operators, and the product of their numerical ranges

Li Chi-Kwong; Tsai Ming-Cheng; Wang Kuo-Zhong; Wong Ngai-Ching

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The spectrum of the product of operators, and the product of their numerical ranges

机译：操作员乘积的频谱及其数值范围的乘积

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摘要

We show that a compact operator A is a multiple of a positive semi-definite operator if and only if

机译：我们证明紧致算子A是当且仅当正半定算子的倍数

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来源
《Linear Algebra and its Applications》 |2015年第null期|共13页
作者
Li Chi-Kwong; Tsai Ming-Cheng; Wang Kuo-Zhong; Wong Ngai-Ching;
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原文格式 PDF
正文语种 eng
中图分类线性代数;
关键词
Numerical range; Spectrum; Positive operators;

机译：数值范围;谱;正算子;

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专利

1. The spectrum of the product of operators, and the product of their numerical ranges [J] . Li Chi-Kwong, Tsai Ming-Cheng, Wang Kuo-Zhong, Linear Algebra and its Applications . 2015,第Null期

机译：操作员乘积的频谱及其数值范围的乘积
2. Product of operators and numerical range [J] . Chien Mao-Ting, Gau Hwa-Long, Li Chi-Kwong, Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2016,第1a3期

机译：运算符和数值范围的乘积
3. Numerical Range of Lie Product of Operators [J] . Hou Jinchuan, Li Chi-Kwong, Qi Xiaofei Integral equations and operator theory . 2015,第4期

机译：算子李积的数值范围
4. Numerical evaluation of Coulomb integrals for 1, 2 and 3-electron distance operators, R_(C1)~(-N)r_(d1)~(-M), R_(C1)~(-N)r_(12)~(-M) and R_(12)~(-N)r_(13)~(-M) with real (N, M) and the Descartes product of 3 dimension common density functional numerical integration scheme [C] . Sandor Kristyan International Conference of Numerical Analysis and Applied Mathematics . 2019

机译：对1,2和3电子距离运算符的库仑积分数值评估，R_（C1）〜（-N）R_（D1）〜（-M），R_（C1）〜（-N）R_（12）〜（ -m）和R_（12）〜（-N）R_（13）〜（-m）具有真实（n，m）和3尺寸常见密度函数数值集成方案的缺陷乘积
5. Products of Toeplitz operators and products of Hankel operators on the unit sphere [D] . Nie, Fusheng 1997

机译：单位球面上的Toeplitz运算符产品和Hankel运算符产品
6. A linear-time algorithm that avoids inverses and computes Jackknife (leave-one-out) products like convolutions or other operators in commutative semigroups [O] . John L. Spouge, Joseph M. Ziegelbauer, Mileidy Gonzalez 2020

机译：一种线性时间算法可避免逆转和计算换乘器或其他操作员的jackknife（休留一张）产品
7. THE SPECTRUM OF THE PRODUCT OF OPERATORS, AND THE PRODUCT OF THEIR NUMERICAL RANGES [O] . Chi-kwong Li, Ming-cheng Tsai, Kuo-zhong Wang, 2016

机译：运算符产品的频谱及其数值范围的产品

The spectrum of the product of operators, and the product of their numerical ranges

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