AbstractWe use certain norm inequalities for 2×2 operator matrices to establish norm inequalities for sums of two basic elementary operators on a Hilbert space. Further, we give necessary and sufficient conditions under which the norm of the above sum of elementary operators attains its optimal value. Applications of the inequalities obtained are also considered
AbstractA sharp upper bound is obtained for ∥A+iB∥, where A and B are n×n Hermitian matrices satisfy...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
AbstractLet Ai, i=1,…,4, be compact operators on a complex separable Hilbert space. We show that2sjA...
AbstractLet A and B be bounded linear operators acting on a Hilbert space H. It is shown that the tr...
AbstractLet H be a complex Hilbert space and let B(H) denote the algebra of all bounded linear opera...
AbstractSeveral norm equalities and inequalities for operator matrices are proved in this paper. The...
AbstractIt is shown that if A and B are positive operators on a separable complex Hilbert space, and...
AbstractSome inequalities for the numerical radius, the operator norm and the maximum of the real pa...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
We describe a rather striking extension of a wide class of inequalities. Some famous classical inequ...
Abstract. Let B(H) and A be a C∗−algebra of all bounded linear operators on a complex Hilbert space ...
AbstractIn this note, we give a characterization of a pair (A,B) of positive contractions with commu...
Dedicated to Roger Horn on the occasion of his 65th birthday LetA be a standard operator algebra act...
AbstractIn this work we characterize normal invertible operators via inequalities with unitarily inv...
AbstractWe prove several singular value inequalities and norm inequalities involving sums and direct...
AbstractA sharp upper bound is obtained for ∥A+iB∥, where A and B are n×n Hermitian matrices satisfy...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
AbstractLet Ai, i=1,…,4, be compact operators on a complex separable Hilbert space. We show that2sjA...
AbstractLet A and B be bounded linear operators acting on a Hilbert space H. It is shown that the tr...
AbstractLet H be a complex Hilbert space and let B(H) denote the algebra of all bounded linear opera...
AbstractSeveral norm equalities and inequalities for operator matrices are proved in this paper. The...
AbstractIt is shown that if A and B are positive operators on a separable complex Hilbert space, and...
AbstractSome inequalities for the numerical radius, the operator norm and the maximum of the real pa...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
We describe a rather striking extension of a wide class of inequalities. Some famous classical inequ...
Abstract. Let B(H) and A be a C∗−algebra of all bounded linear operators on a complex Hilbert space ...
AbstractIn this note, we give a characterization of a pair (A,B) of positive contractions with commu...
Dedicated to Roger Horn on the occasion of his 65th birthday LetA be a standard operator algebra act...
AbstractIn this work we characterize normal invertible operators via inequalities with unitarily inv...
AbstractWe prove several singular value inequalities and norm inequalities involving sums and direct...
AbstractA sharp upper bound is obtained for ∥A+iB∥, where A and B are n×n Hermitian matrices satisfy...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
AbstractLet Ai, i=1,…,4, be compact operators on a complex separable Hilbert space. We show that2sjA...
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