Results 31 to 40 of about 206,253 (185)
An operator inequality related to Jensen’s inequality [PDF]
Proceedings 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).
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Operator Ky Fan type inequalities
, 2018 In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions.
Habibzadeh, S. +2 more
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Intersection theory and the Horn inequalities for invariant subspaces [PDF]
, 2015 We provide a direct, intersection theoretic, argument that the Jordan models of an operator of class C_{0}, of its restriction to an invariant subspace, and of its compression to the orthogonal complement, satisfy a multiplicative form of the Horn ...
Bercovici, Hari, Li, Wing Suet
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Linear Algebra and its Applications, 2011 p pages; to appear in Linear Algebra Appl. (LAA)
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Some operator Bellman type inequalities
, 2015 In this paper, we employ the Mond--Pe\v{c}ari\'c method to establish some reverses of the operator Bellman inequality under certain conditions. In particular, we show \begin{equation*} \delta I_{\mathscr K}+\sum_{j=1}^n\omega_j\Phi_j\left((I_{\mathscr H}-
Bakherad, Mojtaba, Morassaei, Ali
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Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators [PDF]
, 2014 In this paper we study weighted mixed norm estimates for Riesz transforms associated to Dunkl harmonic oscillators. The idea is to show that the required inequalities are equivalent to certain vector valued inequalities for operator defined in terms of ...
Boggarapu, Pradeep, Thangavelu, S.
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Operator inequalities and normal operators
Banach 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
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The Hadamard Determinant Inequality - Extensions to Operators on a Hilbert Space
, 2017 A generalization of classical determinant inequalities like Hadamard's inequality and Fischer's inequality is studied. For a version of the inequalities originally proved by Arveson for positive operators in von Neumann algebras with a tracial state, we ...
Nayak, Soumyashant
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A novel method for Milne-type inequalities using proportional Caputo-hybrid operator
Miskolc Mathematical NotesIn mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis.
İzzetti̇n Demi̇r
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Inequalities for quantum skew information
, 2008 We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by ...
A. Andai +17 more
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