An inequality for tensor product of positive operators and its applications

作者：Chang, Haixia; Paksoy, Vehbi E.; Zhang, Fuzhen^*

来源：Linear Algebra and Its Applications, 2016, 498: 99-105.

DOI：10.1016/j.laa.2014.12.026

• Generalized matrix function
• Induced operator
• Inequality
• Positive operator
• Positive semidefinite matrix
• Positivity
• Tensor
• Word

We present an inequality for tensor product of positive operators on Hilbert spaces by considering the tensor products of operators as words on certain alphabets (i.e., a set of letters). As applications of the operator inequality and by a multilinear approach, we show some matrix inequalities concerning induced operators and generalized matrix functions (including determinants and permanents as special cases).

• 出版日期2016-6-1
• 单位上海金融学院; 东南大学