AbstractLet T be a Hilbert space operator with T=A+iB, where A and B are Hermitian. We prove sharp inequalities comparing the norms ∥T∥p with ∥(A2+B2)1/2∥p and (∥A∥2p+∥B∥2p)1/2
AbstractLet Cp be the Schatten p-class for p>0. Generalizations of the parallelogram law for the Sch...
It is shown that if A and B are operators on a separable complex Hilbert space and if || | · || | i...
AbstractKing and Ruskai asked whether the p→q norm of a completely positive map Φ, acting between Sc...
Let T be a Hilbert space operator with T=A+iB, where A and B are Hermitian. We prove sharp inequalit...
Let T = A + iB with A positive semidefinite and B Hermitian. We derive a majorisation relation invo...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
AbstractFor bounded Hilbert space operators and for all unitarily invariant norms there hold||||A−B|...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
If X is the set of compact or p-Schatten operators over a complex Hilbert separable space H, we stud...
In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators fr...
AbstractIf A ∘ X is the Schur product of n×n matrices A and X, then we study estimates on the norm o...
The main results in this thesis are the minimax theorems for operators in Schatten ideals of compact...
AbstractWe present several norm inequalities for Hilbert space operators. In particular, we prove th...
We present several norm inequalities for Hilbert space operators. In particular, we prove that if A1...
AbstractLet Cp be the Schatten p-class for p>0. Generalizations of the parallelogram law for the Sch...
It is shown that if A and B are operators on a separable complex Hilbert space and if || | · || | i...
AbstractKing and Ruskai asked whether the p→q norm of a completely positive map Φ, acting between Sc...
Let T be a Hilbert space operator with T=A+iB, where A and B are Hermitian. We prove sharp inequalit...
Let T = A + iB with A positive semidefinite and B Hermitian. We derive a majorisation relation invo...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
AbstractFor bounded Hilbert space operators and for all unitarily invariant norms there hold||||A−B|...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
If X is the set of compact or p-Schatten operators over a complex Hilbert separable space H, we stud...
In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators fr...
AbstractIf A ∘ X is the Schur product of n×n matrices A and X, then we study estimates on the norm o...
The main results in this thesis are the minimax theorems for operators in Schatten ideals of compact...
AbstractWe present several norm inequalities for Hilbert space operators. In particular, we prove th...
We present several norm inequalities for Hilbert space operators. In particular, we prove that if A1...
AbstractLet Cp be the Schatten p-class for p>0. Generalizations of the parallelogram law for the Sch...
It is shown that if A and B are operators on a separable complex Hilbert space and if || | · || | i...
AbstractKing and Ruskai asked whether the p→q norm of a completely positive map Φ, acting between Sc...
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