Results 31 to 40 of about 350,578 (278)
Bell's inequality with Dirac particles [PDF]
We study Bell's inequality using the Bell states constructed from four component Dirac spinors. Spin operator is related to the Pauli-Lubanski pseudo vector which is relativistic invariant operator.
A. Peres +10 more
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An operator inequality related to Jensen’s inequality [PDF]
Summary: For bounded non-negative operators \(A\) and \(B\), Furuta showed \[ 0\leq A \leq B \text{ implies } A^{\frac{r}{2}}B^sA^{\frac{r}{2}} \leq (A^{\frac{r}{2}}B^tA^{\frac{r}{2}})^{\frac{s+r}{t+r}}\quad (0\leq r, 0\leq s \leq t).
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Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3
For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.
Derming Wang
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p pages; to appear in Linear Algebra Appl. (LAA)
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In the paper, we study the oscillatory and spectral properties of a fourth-order differential operator. These properties are established based on the validity of some weighted second-order differential inequality, where the inequality’s weights are the ...
Askar Baiarystanov +2 more
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Operator inequalities and normal operators
Over the last years, a lot of work has appeared on operator inequalities. The present authors use some advantages offered by the context of finite-dimensional Hilbert spaces and establish complete characterizations of certain distinguished classes of operators (self-adjoint, unitary reflection, normal) in terms of operator inequalities.
Menkad, Safa, Seddik, Ameur
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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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A sharp integral inequality for the dyadic maximal operator and a related stability result
We prove a sharp integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operator with respect to two variables is possible, as can be seen in [3].
Nikolidakis, Eleftherios N.
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New Investigation on the Generalized K-Fractional Integral Operators
The main objective of this paper is to develop a novel framework to study a new fractional operator depending on a parameter K > 0, known as the generalized K-fractional integral operator.
Saima Rashid +4 more
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Remarks on an operator Wielandt inequality
Let $A$ be a positive operator on a Hilbert space $\mathcal{H}$ with $00.$$ We consider several upper bounds for $\frac{1}{2}|\Gamma+\Gamma^{*}|$.
Zhang, Pingping
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