In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. This notion is a special case of the concept of a contraction mapping, but every bounded operator becomes a contraction after suitable scaling. The analysis of contractions provides insight into the structure of operators, or a family of operators. The theory of contractions on Hilbert space is largely due to Béla Szőkefalvi-Nagy and Ciprian Foias. (Wikipedia).
Matrices of linear operators -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com
From playlist Elementary Linear Algebra
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Physics - E&M: Maxwell's Equations (10 of 30) Differential Form of Gauss' Law: 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the divergence in the three coordinate systems.
From playlist PHYSICS 46 MAXWELL'S EQUATIONS
Functions, operators, and linearity: the language of abstract math (#SoME1)
Mathematicians and physicists often use abstract notation and terminology to reason about and describe problems at a level above the explicit details of the problem, but often take for granted that everyone already understands what they're doing and why. This video gives a short explanati
From playlist Summer of Math Exposition Youtube Videos
Schemes 46: Differential operators
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define differential operators on rings, and calculate the universal (normalized) differential operator of order n. As a special case we fin
From playlist Algebraic geometry II: Schemes
A02 Independence of the solution set
The independence of a linear system. How to make sure that a set of solutions are not constant multiples of each other.
From playlist A Second Course in Differential Equations
Operators in Quantum Mechanics
We discuss some general ideas about operators in quantum mechanics.
From playlist Quantum Mechanics Uploads
How to recognize linear operators -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
From playlist Elementary Linear Algebra
The Differential Operator (1 of 2: Introduction to notation)
More resources available at www.misterwootube.com
From playlist Introduction to Differentiation
Thierry COQUAND - Logic and topology
The logic of topos is naturally described using intuitionistic higher-order logic, an intuitionistic version of a simple theory of types, a formal system designed by A. Church (1940). Two important axioms of this formal system are the axiom of extensionality and the axiom of description. R
From playlist Topos à l'IHES
Weak Infinity Groupoids in HoTT - Guillaume Brunerie
Guillaume Brunerie School of Mathematics, IAS January 30, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Markus Haase : Operators in ergodic theory - Lecture 3 : Compact semigroups and splitting theorems
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From playlist Dynamical Systems and Ordinary Differential Equations
Nonsingular Bounce Cosmology & Perturbation Theory-Effective Field Theory Perspective by Yi-Fu Cai
PROGRAM: PHYSICS OF THE EARLY UNIVERSE - AN ONLINE PRECURSOR ORGANIZERS: Robert Brandenberger (McGill University, Montreal, Canada), Jerome Martin (Institut d'Astrophysique de Paris, France), Subodh Patil (Instituut-Lorentz for Theoretical Physics, Leiden, Netherlands) and L Sriramkumar (
From playlist Physics of The Early Universe - An Online Precursor
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
Thomas KRAJEWSKI - Connes-Kreimer Hopf Algebras...
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From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Amos Nevo: Representation theory, effective ergodic theorems, and applications - Lecture 1
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 Dynamical Systems and Ordinary Differential Equations
Session 3 - Anomalous Dimensions of Heavy Operators from Magnon Energies: Robert de Mello Koch
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Partial Derivatives and the Gradient of a Function
We've introduced the differential operator before, during a few of our calculus lessons. But now we will be using this operator more and more over the prime symbol we are used to when describing differentiation, as from now on we will frequently be differentiating with respect to a specifi
From playlist Mathematics (All Of It)
Kavli Distinguished Lecture SPEAKER: David Gross (KITP - University of California, Santa Barbara) DATE & TIME: 08 January 2018, 09:00 to 10:30 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Abstract: A perspective on large N theories: their role in quantum field theory, in gauge-gravit
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology 2018