Results 31 to 40 of about 769 (85)
The Minimum Numbers for Certain Positive Operators
, 2020 In this paper we give upper and lower bounds of the infimum of k such that kI + 2Re(T ⊗ Sm) is positive, where Sm is the m ×m matrix whose entries are all 0’s except on the superdiagonal where they are all 1’s and T ∈ B(H) for some Hilbert space H.
C. Suen
semanticscholar +1 more source
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
Special Matrices, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
doaj +1 more source
, 2020 Consider the quadratic weighted geometric mean x ν y := ∣∣ ∣∣yx−1∣∣ν x ∣∣ 2 for invertible elements x, y in a Hermitian unital Banach ∗ -algebra and real number ν . In this paper, by utilizing a result of Cartwright and Field, we obtain various upper and
S. Dragomir
semanticscholar +1 more source
Remarks on an operator Wielandt inequality
, 2015 Let $A$ be a positive operator on a Hilbert space $\mathcal{H}$ with $00.$$ We consider several upper bounds for $\frac{1}{2}|\Gamma+\Gamma^{*}|$.
Zhang, Pingping
core +2 more sources
Inequalities for the λ-weighted mixed arithmetic-geometric-harmonic means of sector matrices
, 2020 In this note, we first explain a minor error in the literature [3]. Secondly, we prove the λ -weighted mixed arithmetic-geometric-harmonic-mean inequalities of A and B which are the generalizations of the results already introduced in [3].
Song Lin, Xiaohui Fu
semanticscholar +1 more source
On a class of shift-invariant subspaces of the Drury-Arveson space
Concrete Operators, 2018 In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in a set Y⊂ ℕd with the property that ℕ\X + ej ⊂ ℕ\X for all j = 1, . . . , d.
Arcozzi Nicola, Levi Matteo
doaj +1 more source
Some inequalities involving operator monotone functions and operator means
, 2016 In this paper we show that if f : [0,∞) → [0,∞) is an operator monotone function and A,B are positive operators such that 0 < pA B qA , then for all α ∈ [0,1] f (A) α f (B) max{S(p),S(q)} f (A αB), where S(t) is the so called Specht’s ratio, and α is α ...
M. Ghaemi, V. Kaleibary
semanticscholar +1 more source
An extension of Hartfiel's determinant inequality
, 2018 Let A and B be n× n positive definite matrices, Hartfiel obtained a lower bound for det(A + B) . In this paper, we first extend his result to det(A + B +C) , where A,B and C are n× n positive definite matrices, and then show a generalization of this to ...
L. Hou, S. Dong
semanticscholar +1 more source
An interpolation of Jensen's inequality and its applications to mean inequalities
, 2018 In this paper, we show operator versions of the inequality due to Cho, Matić and Pečarić in connection to Jensen’s inequality for convex functions. As applications, we obtain an interpolation of the weighted arithmetic-geometric mean inequality for the ...
J. M. Hot, Y. Seo
semanticscholar +1 more source
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
Open MathematicsThis article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
doaj +1 more source