Compactness (mathematics) | Operator theory
In functional analysis, a branch of mathematics, a strictly singular operator is a bounded linear operator between normed spaces which is not bounded below on any infinite-dimensional subspace. (Wikipedia).
Ever heard of Quantum Operators and Commutators? (Explained for Beginners)!
What is a quantum operator? And just how useful are quantum commutators? Find out how they help us understand the Ehrenfest Theorem! Hi everyone, I'm back with a new video! This time it's the first in a two-part mini-series on one of the coolest theorems in quantum mechanics - Ehrenfest's
From playlist Quantum Physics by Parth G
Operators in python can be Arithmetic, Assignment, Comparison, Logical, Identity, Membership, and Bitwise. In this video we go over the syntax for some of these operations.
From playlist Intro to Python Programming for Materials Engineers
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
Positive operators. Square roots of operators. Characterization of positive operators. Each positive operator has a unique positive square root.
From playlist Linear Algebra Done Right
Determinant of an Operator and of a Matrix
Determinant of an operator. An operator is not invertible if and only if its determinant equals 0. Formula for the characteristic polynomial in terms of determinants. Determinant of a matrix. Connection between the two notions of determinant.
From playlist Linear Algebra Done Right
Hermitian Operators (Self-Adjoint Operators) | Quantum Mechanics
In this video, we will talk about Hermitian operators in quantum mechanics. If an operator A is a Hermitian operator, then it is the same as its adjoint operator A-dagger, which is defined via this equation here. Usually, the terms "Hermitian" and "self adjoint" are used interchangeably, h
From playlist Quantum Mechanics, Quantum Field Theory
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
William B. Johnson: Ideals in L(L_p)
Abstract: I’ll discuss the Banach algebra structure of the spaces of bounded linear operators on ℓp and Lp := Lp(0,1). The main new results are 1. The only non trivial closed ideal in L(Lp), 1 ≤ p [is less than] ∞, that has a left approximate identity is the ideal of compact operators (joi
From playlist Analysis and its Applications
Physics Ch 67.1 Advanced E&M: Review Vectors (17 of 55) What is the Del Operator?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn that the del operator is an operator that can operate on a scalar function or on a vector function via the dot product
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
Bourgain–Delbaen ℒ_∞-spaces and the scalar-plus-compact property – R. Haydon & S. Argyros – ICM2018
Analysis and Operator Algebras Invited Lecture 8.16 Bourgain–Delbaen ℒ_∞-spaces, the scalar-plus-compact property and related problems Richard Haydon & Spiros Argyros Abstract: We outline a general method of constructing ℒ_∞-spaces, based on the ideas of Bourgain and Delbaen, showing how
From playlist Analysis & Operator Algebras
Determine if the Binary Operation Defined by the Table is Commutative and Associative
In this video we determine whether or not a binary operation is commutative and associative. The binary operation is actually defined by a table in this example. I hope this video helps someone.
From playlist Abstract Algebra
Viviane Baladi: Measure of maximal entropy for finite horizon Sinai billiard flows
CONFERENCE Recording during the thematic meeting : "Probabilistic Techniques for Random and Time-Dependent Dynamical Systems" the October 3, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks g
From playlist Dynamical Systems and Ordinary Differential Equations
New developments in the theory of modular forms... - 9 November 2018
http://crm.sns.it/event/416/ New developments in the theory of modular forms over function fields The theory of modular forms goes back to the 19th century, and has since become one of the cornerstones of modern number theory. Historically, modular forms were first defined and studied ov
From playlist Centro di Ricerca Matematica Ennio De Giorgi
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
Alexandru Dimca: Betti numbers of hypersurfaces and defects of linear systems II
Our approach is a generalization of Griffiths' results expressing the cohomology ofa smooth hypersurface V: f = 0 in a projective space P^n in terms of some graded pieces of the Jacobian algebra of f. We will start by recalling these classical results. Then we explain that when the hyp
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
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
Dan-Virgil Voiculescu: Around the Quasicentral Modulus
Talk by Dan-Virgil Voiculescu in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/tba-9/ on March 26, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
The identity operator plus a nilpotent operator has a square root. An invertible operator on a finite-dimensional complex vector space has a square root.
From playlist Linear Algebra Done Right