Article
An Inequality for Tensor Product of Positive Operators and Its Applications
Linear Algebra and its Applications
Document Type
Article
Publication Date
6-1-2016
Keywords
- Generalized matrix function,
- Induced operator,
- Inequality,
- Positive operator,
- Positive semidefinite matrix,
- Positivity,
- Tensor,
- Word
Disciplines
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
DOI
10.1016/j.laa.2014.12.026
Citation Information
Haixia Chang, Vehbi Emrah Paksoy and Fuzhen Zhang. "An Inequality for Tensor Product of Positive Operators and Its Applications" Linear Algebra and its Applications Vol. 498 (2016) p. 99 - 105 ISSN: 0024-3795 Available at: http://works.bepress.com/vehbi-paksoy/30/
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