Results 21 to 30 of about 62 (61)
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
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
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Hilbert–Schmidt‐Type Radii of Operator Pairs
Journal 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
Journal 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
Journal 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
Analele 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
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Power vector inequalities for operator pairs in Hilbert spaces and their applications
Open MathematicsThis study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla +2 more
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Accretive partial transpose matrices and their connections to matrix means
Open MathematicsAccretive partial transpose (APT) matrices have been recently defined, as a natural extension of positive partial transpose (PPT) matrices. In this paper, we discuss further properties of APT matrices in a way that extends some of those properties known ...
Aldabbas Eman, Sababheh Mohammad
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, 2011 Some Jensen\u27s type inequalities for Log-Convex functions of self-adjoint operators in Hilbert spaces under suitable assumptions for the involvedoperators are given. Applications for particular cases of interest are also pro-vided.
Husna Zayadi
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Means of positive matrices [PDF]
Means of positive numbers are well-know but the theory of matrix means due to Kubo and Ando is less known. The lecture gives a short introduction to means, the emphasis is on matrices.
Petz, Dénes
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