An Inequality for Tensor Product of Positive Operators and Its Applications
Linear Algebra and its Applications
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).
Chang, Haixia; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "An Inequality for Tensor Product of Positive Operators and Its Applications" (2016). Mathematics Faculty Articles. 203.