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Golden-Thompson Type Inequalities and Their Equality Cases(Linear Operators and Inequalities)

Golden-Thompson Type Inequalities and Their Equality Cases(Linear Operators and Inequalities)
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Euclidean Operator Radius Inequalities of a Pair of Bounded Linear Operators and Their Applications

Bulletin of the Brazilian Mathematical Society, 2022
We obtain several sharp lower and upper bounds for the Euclidean operator radius of a pair of bounded linear operators defined on a complex Hilbert space. As applications of these bounds we deduce a chain of new bounds for the classical numerical radius of a bounded linear operator which improve on the existing ones.
Kallol Paul, Pintu Bhunia
exaly   +4 more sources

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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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On an operator Kantorovich inequality for positive linear maps

Journal of Mathematical Analysis and Applications, 2013
We improve the operator Kantorovich inequality as follows: Let $A$ be a positive operator on a Hilbert space with ...
Minghua Lin
exaly   +3 more sources

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 ...
V S Shulman, M I Ostrovskii
exaly   +3 more sources

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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Linear inequalities and overlap bounds: a novel use of an operator inequality

Journal of Physics A: Mathematical and General, 1976
Bounds to overlap integrals are obtained by an operator inequality technique. The formulation involves a set of linear inequalities with several overlap integrals as unknowns. The 'solution' of this set of inequalities leads to bound expressions which complement those of Weinberger (1960) and of Cohen and Feldmann (1976).
Cohen, M., Leopold, J. G.
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Strong converse inequality for linear combinations of Szász-Mirakjan operators

Journal of Approximation Theory, 2022
By means of the regularity of the differential operators generated by the Szász-Mirakjan operators, this paper further investigates the relation between the approximation rate of the linear combinations of the Sász-Mirakjan operators and the smoothness of the approximated function.
Linsen Xie, Shuli Wang
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