Results 281 to 290 of about 160,977 (322)

Distance to the Analytic Toeplitz Operators(Linear Operators and Inequalities)

Distance to the Analytic Toeplitz Operators(Linear Operators and Inequalities)
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Operator inequalities obtained from M. Uchiyama's recent results (Inequalities on Linear Operators and its Applications)

Operator inequalities obtained from M. Uchiyama's recent results (Inequalities on Linear Operators and its Applications)
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Operator Inequalities for Positive Linear Maps

2021
The main purpose of this chapter is to select the main results on squaring reverse arithmetic-geometric mean operator inequality and the reverse Ando’s operator inequality. We gathered the most important topics that showed the essential techniques to squaring operator inequalities and their p-power.
Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Themistocles M. Rassias, Reza Saadati   +3 more
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Some operator inequalities for positive linear maps

Linear and Multilinear Algebra, 2014
In this note, we generalize some operator inequalities due to Lin [J. Math. Anal. Appl. 2013;402:127–132] and [Studia Math. 2013;215:187–194] as follows: Let and be positive operators on a Hilbert space with Then for and every positive unital linear ...
Xiaohui Fu, Chuanjiang He
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Quadratic operator inequalities and linear-fractional relations

Functional Analysis and Its Applications, 2007
Let \(A, B, C\) be bounded Hilbert space operators, and let \(A\) and \(C\) be selfadjoint. Let \(M(A,B,C)\) denote the set of all bounded linear operators \(X\) satisfying the quadratic operator inequality \(X^*AX+B^*X+X^*B+C \leq 0\). Applying the operator \(2\times 2\) matrix \((A;B;B^*;C)\), the authors discuss some set theoretic and topological ...
Khatskevich, V. A., Ostrovskii, M. I., Shulman, V. S.   +2 more
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Inequalities of Polya type for positive linear operators

Houston journal of mathematics, 1996
A number of inequalities are derived for power means and quasi-arithmetic means of bounded linear positive operators on an infinite dimensional Hilbert space.
Mond, B., Pečarić, J., Šunde, J., Varošanec, S.   +3 more
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Some operator inequalities involving operator means and positive linear maps

Linear and Multilinear Algebra, 2017
AbstractLet A and B be two positive operators with for positive real numbers be an operator mean and be the adjoint mean of If and is a positive unital linear map, thenwhereand is the Kantorovich constant.
Maryam Khosravi, Mohammad Sal Moslehian, Alemeh Sheikhhosseini   +2 more
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Mixed means inequalities for positive linear operators

Gazette - Australian Mathematical Society, 1996
In [3] we raised the question of mixed means for different kind of means. Here we use the concept of connections first introduced by Kubo and Ando to obtain some operator generalizations of mixed - mean inequalities presented in [3].
Mond, B., Pečarić, J. E.
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Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization

American Journal of Mathematics, 1986
Let \({\mathcal Q}\) be the family of all finite cubes Q in \(R^ n\) with sides parallel to the axes and let \(M_{{\mathcal Q}}\) denote the Hardy-Littlewood maximal operator. According to a fundamental result of Muckenhoupt, \(M_{{\mathcal Q}}\) is a bounded operator on the Lebesgue-space \(L^ p(d\mu ...
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Linear Operators in Banach Lattices and WeightedL2 Inequalities

Mathematische Nachrichten, 1987
This paper is a valuable confirmation of the general property: ``The boundedness properties of a linear operator in various Banach function spaces depend only on the weighted \(L^ 2\) inequalities that it satisfies.'' Let X be a 2-convex Banach function space on (\(\Omega,\mu)\) and \(\tilde X=(X^ 2)'\) is a Banach function space dual to \(X^ 2=\{y\in ...
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