Banach spaces | Operator theory
In mathematics, multipliers and centralizers are algebraic objects in the study of Banach spaces. They are used, for example, in generalizations of the Banach–Stone theorem. (Wikipedia).
Harold Dales: Multi-norms and Banach lattices
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 Analysis and its Applications
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers
After our introduction to matrices and vectors and our first deeper dive into matrices, it is time for us to start the deeper dive into vectors. Vector spaces can be vectors, matrices, and even function. In this video I talk about vector spaces, subspaces, and the porperties of vector sp
From playlist Introducing linear algebra
Lagrange Multiplier: Single Constraint
Multivariable Calculus: A rectangular box has one corner at the origin and another on the plane x + y + 2z = 1. Use Lagrange multipliers to find the dimensions that maximize volume. For more videos like this one, please visit the Multivariable Calculus playlist at my channel.
From playlist Calculus Pt 7: Multivariable Calculus
Multilinearity of the determinant In this video, I define the notion of a multilinear function and I show that the determinant is multilinear. Come and get a taste of the beauty of multilinear algebra :) Check out my Determinants Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIr
From playlist Determinants
Dual Lagrange Interpolation In this video, I present the ultimate linear algebra application: Using dual spaces, I derive one formula that includes both the midpoint rule, the trapezoidal rule, and Simpson's rule from calculus. This is really linear algebra at its finest, enjoy! Check ou
From playlist Dual Spaces
Hajime Ishihara: The constructive Hahn Banach theorem, revisited
The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The Hahn-Banach theorem, named after the mathematicians Hans Hahn and Stefan Banach who proved it independently in the late 1920s, is a central tool in functional analys
From playlist Workshop: "Constructive Mathematics"
Lagrange multipliers: 2 constraints
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
More On Lp And L2 Spaces Part 1
Lecture with Ole Christensen. Kapitler: 00:00 - Introduction; 05:00 - Complication With Norm On Lp Spaces; 11:30 - Dis/Advantages With Cc,Co,Lp Spaces; 20:00 - Why Not Only Use L1?; 22:00 - Cc Is Dense In L1; 26:00 - Recall Hilbert Spaces; 28:00 - L2 Is A Hilbert Space ; 39:00 - Operators
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
The appearance of noise like behaviour (...) systems - CEB T2 2017 - Liverani - 3/3
Carlangelo Liverani (Univ. Roma Tor Vergata) - 31/05/17 The appearance of noise like behaviour in deterministic dynamical systems I will discuss how noise can arise in deterministic systems with strong instability with respect to the initial conditions. Starting with a discussion of the C
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - E.Effros
Edward Effros (UC Los Angeles) / 13.09.17 Title: Some remarkable gems and persistent difficulties in quantized functional analysis (QFA) Abstract: QFA was a direct outgrowth of the Heisenberg and von Neumann notions of quantized random variables. Thus, one replaces n-tuples of reals by c
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Towards Weak p-Adic Langlands for GL(n) - Claus Sorensen
Claus Sorensen Princeton University September 20, 2012 For GL(2) over Q_p, the p-adic Langlands correspondence is available in its full glory, and has had astounding applications to Fontaine-Mazur, for instance. In higher rank, not much is known. Breuil and Schneider put forward a conjec
From playlist Mathematics
(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian
An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.
From playlist Probability Theory
Alex Amenta: Gamma-radonifying operators in harmonic and stochastic analysis
The lecture was held within the of the Hausdorff Junior Trimester Program: Randomness, PDEs and Nonlinear Fluctuations. Abstract: Various theorems in harmonic and stochastic analysis (e.g. Littlewood-Paley theorems, the Itô isometry) represent the norm of a function in terms of a square f
From playlist HIM Lectures: Junior Trimester Program "Randomness, PDEs and Nonlinear Fluctuations"
Rigidity for Anosov higher rank lattice actions by Federico Rodriguez-Hertz
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Viviane Baladi: Transfer operators for Sinai billiards - lecture 1
We will discuss an approach to the statistical properties of two-dimensional dispersive billiards (mostly discrete-time) using transfer operators acting on anisotropic Banach spaces of distributions. The focus of this part will be our recent work with Mark Demers on the measure of maximal
From playlist Analysis and its Applications
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
We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the
From playlist Introducing linear algebra