Theorems in functional analysis | Operator theory

Von Neumann's theorem

In mathematics, von Neumann's theorem is a result in the operator theory of linear operators on Hilbert spaces. (Wikipedia).

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Calculus 5.3 The Fundamental Theorem of Calculus

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Weil conjectures 1 Introduction

This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie

From playlist Algebraic geometry: extra topics

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Convolution Theorem: Fourier Transforms

Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.

From playlist Partial differential equations

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Calculus - The Fundamental Theorem, Part 3

The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem

In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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Calculus - The Fundamental Theorem, Part 2

The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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Rigidity for von Neumann algebras – Adrian Ioana – ICM2018

Analysis and Operator Algebras Invited Lecture 8.5 Rigidity for von Neumann algebras Adrian Ioana Abstract: We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces.

From playlist Analysis & Operator Algebras

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Meet the Author - Ananyo Bhattacharya (Science Writer)

MEET THE AUTHOR SPEAKER : Ananyo Bhattacharya (Science Writer) WHEN: 3:30 pm to 4:30 pm Tuesday, 24 January 2023 WHERE: Ramanujan Lecture Hall, ICTS-TIFR, Bengaluru Event Description The Man from the Future: The Visionary Ideas of John von Neumann John von Neumann was one of the most inf

From playlist Outreach

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Jamie Gabe: A new approach to classifying nuclear C*-algebras

Talk in the global noncommutative geometry seminar (Europe), 9 February 2022

From playlist Global Noncommutative Geometry Seminar (Europe)

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Evaluate the integral with e as the lower bound

👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct

From playlist Evaluate Using The Second Fundamental Theorem of Calculus

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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

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Lara Ismert: "Heisenberg Pairs on Hilbert C*-modules"

Actions of Tensor Categories on C*-algebras 2021 "Heisenberg Pairs on Hilbert C*-modules" Lara Ismert - Embry-Riddle Aeronautical University, Mathematics Abstract: Roughly speaking, a Heisenberg pair on a Hilbert space is a pair of self-adjoint operators (A,B) which satisfy the Heisenber

From playlist Actions of Tensor Categories on C*-algebras 2021

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History of Science and Technology Q&A (October 20, 2021)

Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram/ Outline of Q&A 0:00 Stream starts 1:41 S

From playlist Stephen Wolfram Ask Me Anything About Science & Technology

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Introduction to additive combinatorics lecture 10.8 --- A weak form of Freiman's theorem

In this short video I explain how the proof of Freiman's theorem for subsets of Z differs from the proof given earlier for subsets of F_p^N. The answer is not very much: the main differences are due to the fact that cyclic groups of prime order do not have lots of subgroups, so one has to

From playlist Introduction to Additive Combinatorics (Cambridge Part III course)

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Kristin Courtney: "The abstract approach to classifying C*-algebras"

Actions of Tensor Categories on C*-algebras 2021 Mini Course: "The abstract approach to classifying C*-algebras" Kristin Courtney - Westfälische Wilhelms-Universität Münster Institute for Pure and Applied Mathematics, UCLA January 21, 2021 For more information: https://www.ipam.ucla.edu

From playlist Actions of Tensor Categories on C*-algebras 2021

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Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 1

Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 1: Background on von Neumann algebras. Abstract: We’ll briskly review basic properties of semi-finite von Neumann algebras. The standard representation, completely positive maps, group von Neumann algebras, th

From playlist YMC*A 2021

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Zermelo Fraenkel Introduction

This lecture is part of an online course on the Zermelo Fraenkel axioms of set theory. This lecture gives an overview of the axioms, describes the von Neumann hierarchy, and sketches several approaches to interpreting the axioms (Platonism, von Neumann hierarchy, multiverse, formalism, pra

From playlist Zermelo Fraenkel axioms

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Learn to evaluate the integral with functions as bounds

👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct

From playlist Evaluate Using The Second Fundamental Theorem of Calculus

Related pages

Operator theory | Hilbert space | Mathematics | Unbounded operator | Self-adjoint | Densely defined operator