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Mathematics Faculty Articles
An Inequality for Tensor Product of Positive Operators and Its Applications
Document Type
Article
Publication Date
6-1-2016
Publication Title
Linear Algebra and its Applications
Keywords
Generalized matrix function, Induced operator, Inequality, Positive operator, Positive semidefinite matrix, Positivity, Tensor, Word
ISSN
0024-3795
Volume
498
First Page
99
Last Page
105
Abstract
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).
Additional Comments
Scientific Research of Foundation of Shanghai Finance University grant #: SHFUKT13-08
NSUWorks Citation
Chang, Haixia; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "An Inequality for Tensor Product of Positive Operators and Its Applications" (2016). Mathematics Faculty Articles. 203.
https://nsuworks.nova.edu/math_facarticles/203
DOI
10.1016/j.laa.2014.12.026
Comments
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