AbstractA generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved. This includes the recent results proved by Bourin, Fujii, Lee, Niezgoda and Seo
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractA series of basic summability results are established for matrices of linear and some nonlin...
AbstractLet A and B be n-by-n Hermitian matrices. ThenTreAeB⩽S(α)TreA+Bwhere α is the condition numb...
AbstractA matrix reverse Hölder inequality is given. This result is a counterpart to the concavity p...
AbstractLet a,b>0 and let Z∈Mn(R) such that Z lies into the operator ball of diameter [aI,bI]. Then ...
AbstractIn this short paper, we give a complete and affirmative answer to a conjecture on matrix tra...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractLet ϕbe a positive linear functional on the algebra of n×n complex matrices and p be a numbe...
AbstractIn this short paper, we study some trace inequalities of the products of the matrices and th...
AbstractIn this paper we show that a class of functions is matrix (operator) monotone and give some ...
AbstractLet f be a convex function defined on an interval I, 0⩽α⩽1 and A,B n×n complex Hermitian mat...
AbstractA capital letter means n×n matrix. T is said to be positive definite (denoted by T>0) if T i...
A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, a...
AbstractLet ∥·∥ be a unitarily invariant norm on matrices. For matrices A,B,X with A,B positive semi...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractA series of basic summability results are established for matrices of linear and some nonlin...
AbstractLet A and B be n-by-n Hermitian matrices. ThenTreAeB⩽S(α)TreA+Bwhere α is the condition numb...
AbstractA matrix reverse Hölder inequality is given. This result is a counterpart to the concavity p...
AbstractLet a,b>0 and let Z∈Mn(R) such that Z lies into the operator ball of diameter [aI,bI]. Then ...
AbstractIn this short paper, we give a complete and affirmative answer to a conjecture on matrix tra...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractLet ϕbe a positive linear functional on the algebra of n×n complex matrices and p be a numbe...
AbstractIn this short paper, we study some trace inequalities of the products of the matrices and th...
AbstractIn this paper we show that a class of functions is matrix (operator) monotone and give some ...
AbstractLet f be a convex function defined on an interval I, 0⩽α⩽1 and A,B n×n complex Hermitian mat...
AbstractA capital letter means n×n matrix. T is said to be positive definite (denoted by T>0) if T i...
A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, a...
AbstractLet ∥·∥ be a unitarily invariant norm on matrices. For matrices A,B,X with A,B positive semi...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractA series of basic summability results are established for matrices of linear and some nonlin...
AbstractLet A and B be n-by-n Hermitian matrices. ThenTreAeB⩽S(α)TreA+Bwhere α is the condition numb...