Theorems in functional analysis | Articles containing proofs | Linear algebra | Operator theory

Choi's theorem on completely positive maps

In mathematics, Choi's theorem on completely positive maps is a result that classifies completely positive maps between finite-dimensional (matrix) C*-algebras. An infinite-dimensional algebraic generalization of Choi's theorem is known as Belavkin's "Radon–Nikodym" theorem for completely positive maps. (Wikipedia).

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Positive geometries - Thomas Lam

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From playlist Mathematics

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How to Prove a Function is Not an Open Function

How to Prove a Function is Not an Open Function If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Topology

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Ex: Definite Integrals as Area Given a Graph (Function)

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From playlist Definite Integrals and The Fundamental Theorem of Calculus

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Calculus - The Fundamental Theorem, Part 5

The Fundamental Theorem of Calculus. How an understanding of an incremental change in area helps lead to the fundamental theorem

From playlist Calculus - The Fundamental Theorem of Calculus

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Calculus 16.4 Green's Theorem

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - M.Brannan

Michael Brannan (College station) / 12.09.17 Title: Entangled subspaces from quantum groups and their associated quantum channels. Abstract:I will describe a class of highly entangled subspaces of bipartite quantum systems arising from the representation theory of a class of compact quan

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

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - M.Musat

Magdalena Musat (University of Copenhagen) / 14.09.17 Title: Quantum correlations, tensor norms, and factorizable quantum channels Abstract: In joint work with Haagerup, we established in 2015 a reformulation of the Connes embedding problem in terms of an asymptotic property of quantum c

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

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Emanuel Milman - The log-Minkowski Problem - IPAM at UCLA

Recorded 09 February 2022. Emanuel Milman of Technion - Israel Institute of Technology presents "The log-Minkowski Problem" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The classical Minkowski problem asks to find a convex body K in Rn having a prescrib

From playlist Workshop: Calculus of Variations in Probability and Geometry

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - A.Gheondea

Aurelian Gheondea (Bilkent University, Ankara) / 11.09.17 Title: Symmetry versus Conservation Laws in Dynamical Quantum Systems: A Unifying Approach through Propagation of Fixed Points Abstract: We unify recent Noether type theorems on the equivalence of symmetries with conservation laws

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

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Ex: Setting Up a Definite Integral To Determine Area Under a Function

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From playlist Definite Integrals and The Fundamental Theorem of Calculus

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algebraic geometry 30 The Ax Grothendieck theorem

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the Ax-Grothendieck theorem, which states that an injective regular map between varieties is surjective. The proof uses a strange technique: first prove the resu

From playlist Algebraic geometry I: Varieties

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Stokes Theorem

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From playlist Vector Calculus

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A quantitative inverse theorem for the U⁴ norm (...) - T. Gowers - Workshop 1 - CEB T1 2018

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From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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F. Schulze - An introduction to weak mean curvature flow 4

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From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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Kristin Courtney: C*-structure on images of completely positive order zero maps

Talk by Kristin Courtney in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 16, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

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F. Schulze - An introduction to weak mean curvature flow 2 (version temporaire)

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From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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F. Schulze - An introduction to weak mean curvature flow 2

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From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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Princeton/IAS Symplectic Geometry Seminar - Keon Choi

Keon Choi University of California, Berkeley March 7, 2014 Embedded contact homology is an invariant of a contact three-manifold, which is recently shown to be isomorphic to Heegaard Floer homology and Seiberg-Witten Floer homology. However, ECH chain complex depends on the contact form on

From playlist Mathematics

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Ex: Definite Integrals as Area Given a Graph (Function + Constant)

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From playlist Definite Integrals and The Fundamental Theorem of Calculus

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F. Schulze - An introduction to weak mean curvature flow 3 (version temporaire)

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From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

Related pages

Completely positive map | Mathematics | Hilbert–Schmidt operator | Radon–Nikodym theorem | C*-algebra | Holevo's theorem