Inequalities for Determinants and Characterization of the Trace© 2020, Pleiades Publishing, Ltd. Let tr be the canonical trace on the full
matrix algebra ℳn
Characterization of the trace by young's inequalityLet φ be a positive
linear functional on the algebra of n × n complex matrices and p, q be positive
On matrix-subadditive functions and a relevant trace inequality. We prove that if f is
matrix-subadditive of ordern then it has the form f(t) = αt for some α ∈ ℝ
On hermitian operators X and Y meeting the condition -Y ≤ X ≤ Y to the new weak majorization for the Hermitian operator pair. It is shown that this
inequality does
On matrix-subadditive functions and a relevant trace inequality. We prove that if f is
matrix-subadditive of ordern then it has the form f(t) = αt for some α ∈ ℝ
Characterization of the trace by young's inequalityLet φ be a positive
linear functional on the algebra of n × n complex matrices and p, q be positive
On hermitian operators X and Y meeting the condition -Y ≤ X ≤ Y to the new weak majorization for the Hermitian operator pair. It is shown that this
inequality does
A note on definition of matrix convex functionsWe prove that a real-valued function f defined on an interval S in R is
matrix convex if and only