AbstractWe establish lower bounds for norms and CB-norms of elementary operators on B(H). Our main result concerns the operator Ta,bx=axb+bxa and we show ‖Ta,b‖⩾‖a‖‖b‖, proving a conjecture of M. Mathieu. We also establish some other results and formulae for ‖Ta,b‖cb and ‖Ta,b‖ for special cases
A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, a...
AbstractLet B(H) be the C∗-algebra of all bounded linear operators on a complex Hilbert space H, S b...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractSharp upper estimates for the norm of the weighted elementary operator of the form ∑n=1∞CnZn...
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear ope...
AbstractIn 1985, Elsner proved that the Hausdorff distance Δ between the spectra of two n×n matrices...
AbstractBanach–Mazur–Caccioppoli global inversion theorem is applied to obtain a generalization of a...
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear ope...
AbstractLet B(H) be the C*-algebra of all bounded linear operators acting on a complex Hilbert space...
AbstractLet ∥·∥ be a unitarily invariant norm on matrices. For matrices A,B,X with A,B positive semi...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractLet Ai, i=1,…,4, be compact operators on a complex separable Hilbert space. We show that2sjA...
AbstractWe establish a generalization of the Dunkl–Williams inequality and its inverse in the framew...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, a...
AbstractLet B(H) be the C∗-algebra of all bounded linear operators on a complex Hilbert space H, S b...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractSharp upper estimates for the norm of the weighted elementary operator of the form ∑n=1∞CnZn...
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear ope...
AbstractIn 1985, Elsner proved that the Hausdorff distance Δ between the spectra of two n×n matrices...
AbstractBanach–Mazur–Caccioppoli global inversion theorem is applied to obtain a generalization of a...
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear ope...
AbstractLet B(H) be the C*-algebra of all bounded linear operators acting on a complex Hilbert space...
AbstractLet ∥·∥ be a unitarily invariant norm on matrices. For matrices A,B,X with A,B positive semi...
AbstractThe main topic of the paper is best constants in Markov-type inequalities between the norms ...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
AbstractLet Ai, i=1,…,4, be compact operators on a complex separable Hilbert space. We show that2sjA...
AbstractWe establish a generalization of the Dunkl–Williams inequality and its inverse in the framew...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, a...
AbstractLet B(H) be the C∗-algebra of all bounded linear operators on a complex Hilbert space H, S b...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
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