An inequality for tensor product of positive operators and its applications
Functional Analysis
2015-02-23 v1 Operator Algebras
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).
Keywords
Cite
@article{arxiv.1502.05989,
title = {An inequality for tensor product of positive operators and its applications},
author = {Xaixia Chang and Vehbi E. Paksoy and Fuzhen Zhang},
journal= {arXiv preprint arXiv:1502.05989},
year = {2015}
}
Comments
Linear Algebra and Appl. in press