Positive semi-definite \(2 \times 2\) block matrices and norm inequalities

DOI10.1016/j.laa.2018.03.046zbMath1415.15022OpenAlexW2796348637MaRDI QIDQ2002809

Jianzhen Liu, Mehmet Gumus, Samir Raouafi, Tin-Yau Tam

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.046

zbMATH Keywords

unitarily invariant normblock matrixpositive semi-definite matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

An Oppenheim type inequality for positive definite block matrices, Unnamed Item, Eigenvalue inequalities for positive block matrices with the inradius of the numerical range, A new matrix inequality involving partial traces, Some applications of two completely copositive maps, On a norm inequality for a positive block-matrix, NUMERICAL RANGE AND POSITIVE BLOCK MATRICES, A norm inequality for positive block matrices, Extensions of some matrix inequalities related to trace and partial traces, Unitary congruences and positive block-matrices, Trace inequalities involving positive semi-definite block matrices

Cites Work

• Unnamed Item
• On a decomposition lemma for positive semi-definite block-matrices
• Positive block matrices and numerical ranges
• The Schur complement and its applications
• Hiroshima’s theorem and matrix norm inequalities
• Quantum entanglement
• Unitary orbits of Hermitian operators with convex or concave functions
• Matrix Analysis
• DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS