Results 241 to 250 of about 3,687,402 (267)

Operator Interpolation and Systems of Linear Equations and Inequalities in Euclidean Spaces

Ukrainian Mathematical Journal, 2021
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Makarov, V. L., Khlobystov, V. V., Kashpur, O. F.   +2 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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More operator inequalities for positive linear maps [PDF]

Banach Journal of Mathematical Analysis, 2015
Some operator inequalities for positive linear maps are presented. These inequalities improve and generalize the corresponding results due to Fu and He [Linear Multilinear Algebra, doi: 10.1080/03081087.2014.880432.].
exaly   +3 more sources

Generalizations of Landau’s Inequality to Linear Operators

1972
In 1913 Edmund Landau [13] proved that if f is continuous together with its first and second order derivatives in the interval [0, 1], if ‖ f ‖ = 1, ‖ f″‖=4, then $$\left\| {f'} \right\| \mathbin{\lower.3ex\hbox ...
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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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A Problem Concerning an Inequality for Linear Operators

1983
Let X be an ordered topological vector space, and let A be a linear operator in X. Let us assume that the sequence Anx is convergent for every x ∈ X. Let K be the set of all solutions of the inequality $$Ax\,\leq\,x,\,x\,\varepsilon\,X$$ .
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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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Linear operator inequalities for strongly stable weakly regular linear systems

Math. Control. Signals Syst., 2001
Weakly regular linear systems introduced by \textit{M. Weiss} and \textit{G. Weiss} [Math. Control Signals Syst. 10, No. 4, 287--330 (1997; Zbl 0884.49021)] form a large subclass of well-posed (in the sense of \textit{D. Salamon} [Trans. Am. Math. Soc.
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On inequalities for powers of linear operators and for quadratic forms

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisLetHbe a Hilbert space in which a symmetric operatorSwith a dense domainDsis given and letShave a finite deficiency index (r, s). This paper contains a necessary and sufficient condition for validity of the following inequalities of Kolmogorov typeand a method for calculating the best possible constantsCn,m(S).Moreover, let φ be a symmetric ...
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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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