Results 31 to 40 of about 350,578 (278)

Bell's inequality with Dirac particles [PDF]

open access: yes, 2012
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
core   +1 more source

An operator inequality related to Jensen’s inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 2001
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).
openaire   +2 more sources

Around the Furuta inequality—the operator inequalities (AB2A)¾≤ABA≤A3

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
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
doaj   +1 more source

Operator Aczél inequality

open access: yesLinear Algebra and its Applications, 2011
p pages; to appear in Linear Algebra Appl. (LAA)
openaire   +2 more sources

Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions

open access: yesBoundary Value Problems, 2022
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
doaj   +1 more source

Operator inequalities and normal operators

open access: yesBanach Journal of Mathematical Analysis, 2012
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
openaire   +2 more sources

Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities

open access: yesMathematics, 2019
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
doaj   +1 more source

A sharp integral inequality for the dyadic maximal operator and a related stability result

open access: yes, 2019
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.
core   +1 more source

New Investigation on the Generalized K-Fractional Integral Operators

open access: yesFrontiers in Physics, 2020
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
doaj   +1 more source

Remarks on an operator Wielandt inequality

open access: yes, 2015
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
core   +2 more sources

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