Inequalities | Matrix theory | Operator theory

Trace inequality

In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with traces of matrices. (Wikipedia).

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Solving and graphing an inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving and Graphing an inequality when the solution point is a decimal

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving and graphing a multi-step inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving a multi step inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving a multi-step inequality and then graphing

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Applying distributive property to solve and graph an inequality

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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What is the difference between an open and closed point for an inequality

👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequality is 'excluded' (when less tha

From playlist Graph Linear Inequalities in Two Variables

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Solving an inequality with a parenthesis on both sides

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Solving and graphing a linear inequality

👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste

From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis

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Anna Vershynina: "Quasi-relative entropy: the closest separable state & reversed Pinsker inequality"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Quasi-relative entropy: the closest separable state and the reversed Pinsker inequality" Anna Vershynina - University of Houston Abstract: It is well known that for pure states the relative entropy of entanglement is equ

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Matrix trace inequalities for quantum entropy - M. Berta - Main Conference - CEB T3 2017

Mario Berta (Imperial) / 11.12.2017 Title: Matrix trace inequalities for quantum entropy Abstract: I will present multivariate trace inequalities that extend the Golden-Thompson and Araki-Lieb-Thirring inequalities as well as some logarithmic trace inequalities to arbitrarily many matric

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Multivariate trace inequalities - Marius Lemm

Short talks by postdoctoral members Topic: Multivariate trace inequalities Speaker: Marius Lemm Affiliation: Member, School of Mathematics Date: October 2, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017

Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive q

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Michael Walter: "Quantum Brascamp-Lieb Dualities"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Quantum Brascamp-Lieb Dualities" Michael Walter - Universiteit van Amsterdam Abstract: Brascamp-Lieb inequalities are entropy inequalities which have a dual formulation as generalized Young inequalities. In this work, we

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Farenick

Douglas Farenick (University of Toronto) / 13.09.17 Title: Isometric and Contractive of Channels Relative to the Bures Metric Abstract:In a unital C*-algebra A possessing a faithful trace, the density operators in A are those positive elements of unit trace, and the set of all density el

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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Elliott H. Lieb: Entropy and entanglement bounds for reduced density matrices of fermionic states

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Physics

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Entropy bounds for reduced density matrices of fermionic states - Elliott Lieb

Elliott Lieb Princeton Univ April 2, 2014 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Solving a multi step inequality with distributive property

👉 Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step l

From playlist Solve and Graph Inequalities | Multi-Step With Parenthesis

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Denis Serre - Tenseurs symétriques positifs à divergence nulle. Applications.

UMPA, ENS Lyon, Prix Jacques-Louis Lions 2017 Réalisation technique : Antoine Orlandi (GRICAD) | Tous droits réservés

From playlist Des mathématiciens primés par l'Académie des Sciences 2017

Related pages

Convex function | Self-adjoint operator | Trace (linear algebra) | Spectral theorem | Derivative | Hermitian matrix | Density matrix | Quantum relative entropy | John von Neumann | Jensen's inequality | Mathematics | Spectrum (functional analysis) | Projection (linear algebra) | Trace class | Singular value | Eigenvalues and eigenvectors | Hilbert space | Inequality (mathematics) | Hermitian adjoint | Matrix (mathematics)