An inequality for tensor product of positive operators and its applications

2014/12/28 by Chang, Xaixia, Paksoy, Vehbi E., Zhang, Fuzhen
#15A48 #47A63 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1502.05989

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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• The positive Schur property on positive projective tensor products and spaces of regular multilinear operators
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