Results 51 to 60 of about 3,159 (156)

Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality [PDF]

Journal of Inequalities and Applications, 2007
Hilbert's inequalities were extensively studied and many refinements or generalizations were appeared in the literature [see \textit{D.\,S.\thinspace Mitrinović}, ``Analytic inequalities'' (Grundlehren 165; Berlin etc.:\ Springer--Verlag) (1970; Zbl 0199.38101)].
Wang Zhiping, He Bing, Li Yongjin
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Opial type inequalities for linear differential operators [PDF]

Mathematical Inequalities & Applications, 1998
In the present paper, the author has given various \(L_p\) form Opial type inequalities for a linear differential operator \(L\), involving its related initial value problem solution \(y\), \(Ly\), the associated Green's function \(H\) and initial conditions points \(x_0\in\mathbb{R}\).
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More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces

Abstract and Applied Analysis, 2012
We study some properties of (𝛼,𝛽)-normal operators and we present various inequalities between the operator norm and the numerical radius of (𝛼,𝛽)-normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators 𝑇∶ℋ→ℋ, where ℋ is Hilbert space.
Rasoul Eskandari, Farzollah Mirzapour, Ali Morassaei   +2 more
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More on Inequalities for Weaving Frames in Hilbert Spaces

Mathematics, 2019
In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers ...
Zhong-Qi Xiang
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On Two Extensions of Hilbert’s Integral Inequality

Journal of Mathematical Extension, 2012
. The norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞) is given. By introducing some parameters, we give the norms of two extensions of Hilbert’s integral operator.
Z. Jokar
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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces

Annales Mathematicae Silesianae, 2020
In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces.
Dragomir Silvestru Sever
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An Application of Furuta Inequality to Linear Operator Equations

Kyungpook mathematical journal, 2009
A class of Hermitian operators B admitting a positive semidefinite solution of the linear operator equation for a fixed positive definite operator A is given via the Furuta inequality.
Eun-Kyung Ahn, Yong-Do Lim
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The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions

Discrete Dynamics in Nature and Society, 2018
We discuss the uniqueness of the solution to a class of differential systems with coupled integral boundary conditions under a Lipschitz condition. Our main method is the linear operator theory and the solvability for a system of inequalities.
Shuman Meng, Yujun Cui
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Models of linear operators satisfying operator inequalities

, 2020
Tesis doctoral inédita leída en la Universidad Autónoma de Madrid, Facultad de Ciencias Económicas y Empresariales, Departamento de Matemáticas.
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Some inequalities in B(H)

International Journal of Mathematics and Mathematical Sciences, 2001
Let H denote a separable Hilbert space and let B(H) be the space of bounded and linear operators from H to H. We define a subspace Δ(A,B) of B(H), and prove two inequalities between the distance to Δ(A,B) of each operator T in B(H), and the value sup ...
C. Duyar, H. Seferoglu
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