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
Proof of the existence of the minimal polynomial. Every polynomial that annihilates an operator is a polynomial multiple of the minimal polynomial of the operator. The eigenvalues of an operator are precisely the zeros of the minimal polynomial of the operator.
From playlist Linear Algebra Done Right
Polynomials applied to an operator. Proof that every operator on a finite-dimensional, nonzero, complex vector space has an eigenvalue (without using determinants!).
From playlist Linear Algebra Done Right
The complexification of a real vector space. The complexification of an operator on a real vector space. Every operator on a nonzero finite-dimensional real vector space has an invariant subspace of dimension 1 or 2. Every operator on an odd-dimensional real vector space has an eigenvalue.
From playlist Linear Algebra Done Right
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
Cristina Câmara: Truncated Toeplitz operators
Abstract: Toeplitz matrices and operators constitute one of the most important and widely studied classes of non-self-adjoint operators. In this talk we consider truncated Toeplitz operators, a natural generalisation of finite Toeplitz matrices. They appear in various contexts, such as the
From playlist Analysis and its Applications
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
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
Numerical Homogenization by Localized Orthogonal Decomposition (Lecture 3) by Daniel Peterseim
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Tongmu He - Sen operators and Lie algebras arising from Galois representations over p-adic varieties
Any finite-dimensional p-adic representation of the absolute Galois group of a p-adic local field with imperfect residue field is characterized by its arithmetic and geometric Sen operators defined by Sen-Brinon. We generalize their construction to the fundamental group of a p-adic affine
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Tongmu He: Sen operators and Lie algebras arising from Galois representations over p-adic varieties
HYBRID EVENT Recorded during the meeting "Franco-Asian Summer School on Arithmetic Geometry in Luminy" the June 03, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Recanzone Find this video and other talks given by worldwide mathematicia
From playlist Algebraic and Complex Geometry
Hermann Schulz-Baldes: Computational K-theory via the spectral localizer.
Talk by Hermann Schulz-Baldes in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 24, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Marta D'Elia: A coupling strategy for nonlocal and local models with applications ...
The use of nonlocal models in science and engineering applications has been steadily increasing over the past decade. The ability of nonlocal theories to accurately capture effects that are difficult or impossible to represent by local Partial Differential Equation (PDE) models motivates a
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Lue Pan - Sen theory for locally analytic representations
Let p be a prime number. The classical work of Sen attaches an operator (called the Sen operator) to every finite-dimensional continuous p-adic representation of the absolute Galois group of Q_p. We will present a generalization of this construction to locally analytic Galois representatio
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
If N is a nilpotent operator on a finite-dimensional vector space, then there is a basis of the vector space with respect to which N has a matrix with only 0's on and below the diagonal.
From playlist Linear Algebra Done Right
Lecture 24 (CEM) -- Introduction to Variational Methods
This lecture introduces to the student to variational methods including finite element method, method of moments, boundary element method, and spectral domain method. It describes the Galerkin method for transforming a linear equation into matrix form as well as populating the global matr
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Stefan Tuefel - Local response in bulk-gapped interacting systems - IPAM at UCLA
Recorded 12 April 2022. Stefan Teufel of Eberhard-Karls-Universität Tübingen, Mathematics, presents "Local response in bulk-gapped interacting systems" at IPAM's Model Reduction in Quantum Mechanics Workshop. Abstract: In my talk, I will first discuss effective descriptions from physics fo
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
Lue Pan: Sen theory for locally analytic representations
HYBRID EVENT Recorded during the meeting "Franco-Asian Summer School on Arithmetic Geometry in Luminy" the June 03, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Recanzone Find this video and other talks given by worldwide mathematicia
From playlist Number Theory
A short introduction to quantum quenches in integrable models (Lecture 01) by Fabian Essler
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Abonniert den Kanal, damit er auch in Zukunft bestehen kann. Es ist vollkommen kostenlos und ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier erzähle ich ein wenig über lineare Operatoren zwischen normierten Räumen (oder Hilberträumen) und gebe die wichtige Definition
From playlist Funktionalanalysis