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arXiv · 1502.05989

An inequality for tensor product of positive operators and its applications

Xaixia Chang·Vehbi E. Paksoy·Fuzhen Zhang
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Abstract

We present an inequality for tensor product of positive operators on Hilbert spaces by considering the tensor product 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).

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Xaixia Chang, Vehbi E. Paksoy, Fuzhen Zhang. 2014-12-28. An inequality for tensor product of positive operators and its applications. https://arxiv.org/abs/1502.05989

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