Von Neumann algebras | Hilbert space
In mathematics, the commutator subspace of a two-sided ideal of bounded linear operators on a separable Hilbert space is the linear subspace spanned by commutators of operators in the ideal with bounded operators.Modern characterisation of the commutator subspace is through the Calkin correspondence and it involves the invariance of the Calkin sequence space of an operator ideal to taking Cesàro means. This explicit spectral characterisation reduces problems and questions about commutators and traces on two-sided ideals to (more resolvable) problems and conditions on sequence spaces. (Wikipedia).
Subspaces of a vector space. Sums and direct sums.
From playlist Linear Algebra Done Right
Classic linear algebra exercise: the union of a subspace is a subspace if and only if one is contained in the other. This is also good practice with the definition of a subspace, and also shows how to prove statements of the form p implies (q or r) Check out my vector space playlist: http
From playlist Vector Spaces
Linear Algebra: What is a Subspace?
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
What's a subspace of a vector space? How do we check if a subset is a subspace?
From playlist Linear Algebra
A matrix of coefficients, when viewed in column form, is used to create a column space. This is simply the space created by a linear combination of the column vectors. A resulting vector, b, that does not lie in this space will not result in a solution to the linear system. A set of vec
From playlist Introducing linear algebra
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul
From playlist Linear Algebra
Determine the Fundamental Subspaces of a Matrix (2 by 3)
This video explains how to determine the 4 fundamental subspaces of a matrix.
From playlist Fundamental Subspaces of a Matrix
Non-commutative rank - Visu Makam
Computer Science/Discrete Mathematics Seminar II Topic: Non-commutative rank Speaker: Visu Makam Affiliation: University of Michigan; Member, School of Mathematics Date: February 5, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Eva Gallardo Gutiérrez: The invariant subspace problem: a concrete operator theory approach
Abstract: The Invariant Subspace Problem for (separable) Hilbert spaces is a long-standing open question that traces back to Jonhn Von Neumann's works in the fifties asking, in particular, if every bounded linear operator acting on an infinite dimensional separable Hilbert space has a non-
From playlist Analysis and its Applications
Session 1 - Bulk Locality and Quantum Error Correction in AdS/CFT: Daniel Harlow
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Some 20+ year old problems about Banach spaces and operators on them – W. Johnson – ICM2018
Analysis and Operator Algebras Invited Lecture 8.17 Some 20+ year old problems about Banach spaces and operators on them William Johnson Abstract: In the last few years numerous 20+ year old problems in the geometry of Banach spaces were solved. Some are described herein. © Internatio
From playlist Analysis & Operator Algebras
An algebraic algorithm for non-commutative rank over any field - K.V. Subrahmanyam
Optimization, Complexity and Invariant Theory Topic: An algebraic algorithm for non-commutative rank over any field Speaker: K.V. Subrahmanyam Affiliation: Chennai Mathematical Institute Date: June 6. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
23 - More examples of subspaces
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
26. Addition of Angular Momentum (continued)
MIT 8.05 Quantum Physics II, Fall 2013 View the complete course: http://ocw.mit.edu/8-05F13 Instructor: Barton Zwiebach In this lecture, the professor talked about hydrogen atom and hidden symmetry. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More cour
From playlist 8.05 Quantum Physics II - Prof. Barton Zwiebach
Markus Haase : Operators in ergodic theory - Lecture 2 : Dilations and joinings
Abstract : The titles of the of the individual lectures are: 1. Operators dynamics versus base space dynamics 2. Dilations and joinings 3. Compact semigroups and splitting theorems Recording during the thematic meeting : "Probabilistic Aspects of Multiple Ergodic Averages " the December 7
From playlist Dynamical Systems and Ordinary Differential Equations
In this video, I define the notion of simultaneous diagonalization and show that two matrices are simultaneously diagonalizable if and only if they commute (that is AB = BA). This is a wonderful exercise using invariant subspaces and diagonalization. Enjoy! Check out my Diagonalization pl
From playlist Diagonalization
Anthony Henderson: Hilbert Schemes Lecture 2
SMRI Seminar Series: 'Hilbert Schemes' Lecture 2 H is smooth Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested in representat
From playlist SMRI Course: Hilbert Schemes
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M