Results 21 to 30 of about 568 (48)

Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality

open access: yesSpecial Matrices, 2018
In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj   +1 more source

Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

open access: yesSpecial 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

Computation of antieigenvalues of bounded linear operators via centre of mass

open access: yes, 2013
We introduce the concept of theta-antieigenvalue and theta-antieigenvector of a bounded linear operator on complex Hilbert space. We study the relation between theta-antieigenvalue and centre of mass of a bounded linear operator and compute ...
Das, Gopal   +2 more
core   +1 more source

On a class of shift-invariant subspaces of the Drury-Arveson space

open access: yesConcrete 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

Remarks on an operator Wielandt inequality

open access: yes, 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

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

open access: yesOpen Mathematics
This 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

Hilbert–Schmidt‐Type Radii of Operator Pairs

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
Let C2H be the Hilbert–Schmidt class on a complex separable Hilbert space H. In light of the recent definition of the weighted numerical radius and motivated by the definition of the Hilbert–Schmidt numerical radius of a pair of operators, we introduce the definition of the weighted Hilbert–Schmidt numerical radius of a pair of operators.
Bashar Mayyas   +2 more
wiley   +1 more source

The Interpolative Ideal of Bloch Mappings

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
Inspired by the interpolative ideal procedure for linear operators due to Matter, the concept of interpolative ideals of a Banach normalized Bloch ideal IB∧ is introduced. For σ ∈ [0, 1), we prove that the generated ideal IB∧σ is an injective Banach normalized Bloch ideal which is located between the injective hull and the closed injective hull of IB∧.
D. Achour   +3 more
wiley   +1 more source

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam   +3 more
wiley   +1 more source

An Operator Extension of Čebyšev Inequality

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza   +2 more
doaj   +1 more source

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