An inequality for tensor product of positive operators and its applications

DOI10.1016/j.laa.2014.12.026zbMath1341.47021arXiv1502.05989OpenAlexW2043614329MaRDI QIDQ269260

Fuzhen Zhang, Vehbi Emrah Paksoy, Hai-Xia Chang

Publication date: 18 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05989

zbMATH Keywords

inequalitypositive operatorpositive semidefinite matrixgeneralized matrix functioninduced operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Positive linear operators and order-bounded operators (47B65) Tensor products of linear operators (47A80)

Related Items (3)

Inequalities for generalized matrix function and inner product ⋮ Inequalities on generalized matrix functions ⋮ Partial determinant inequalities for positive semidefinite block matrices

Cites Work

• Positivity of partitioned Hermitian matrices with unitarily invariant norms
• Positivity of matrices with generalized matrix functions
• Karcher means and Karcher equations of positive definite operators
• On commuting and semi-commuting positive operators
• Words and normality of matrices
• Inequalities of generalized matrix functions via tensor products
• Functions preserving positive definiteness for sparse matrices
• Matrix theory. Basic results and techniques
• Positive linear maps and spreads of matrices. II
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