How to Prove a Function is Not an Open Function
How to Prove a Function is Not an Open Function If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
Functional Analysis Lecture 26 2014 05 01 Closed Graph Theorem, Besicovitch Sets
Does every sequence of complex numbers (of vanishing modulus) arise as Fourier coefficients? No. Closed graph theorem. Besicovitch sets: definition, power sets, distance from a point to a set; delta-neighborhood of a set; Hausdorff distance between two sets.
From playlist Course 9: Basic Functional and Harmonic Analysis
Intro to Open Sets (with Examples) | Real Analysis
We introduce open sets in the context of the real numbers, along with examples and nonexamples of open sets. This is an important topic in the topology of the reals. We say a subset U of the reals is open if, for any x in U, there exists a delta-neighborhood of x that is contained in U. We
From playlist Real Analysis
In this tutorial I cross the bridge between a standard algebraic function and products sets, as well as mappings. I show the three types of mappings, namely injective (one-to-one), surjective (onto), and their combination, a bijection.
From playlist Abstract algebra
Algebraic Topology - 5.4 - Mapping Spaces and the Compact Open Topology
We prove the adjunction between Top(X,-) and X\times- at least on the level of sets.
From playlist Algebraic Topology
Math 135 Complex Analysis Lecture 07 021015: Analytic Functions
Definition of conformal mappings; analytic implies conformal; Cauchy-Riemann equations are satisfied by analytic functions; partial converses (some proven, some only stated); definition of harmonic functions; harmonic conjugates
From playlist Course 8: Complex Analysis
An Example of a Closed Continuous Function that is Not Open
An Example of a Closed Continuous Function that is Not Open If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
Open and closed sets -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Math 135 Complex Analysis Lecture 04 012915: Basic Topological Concepts part 2
Closed sets; closed sets and set operations; topological continuity (inverse image of open set is open); sequences; Cauchy sequence; closedness in terms of convergent sequences; continuity in terms of sequences; connected and path-connected sets; compact sets; Heine-Borel theorem (statemen
From playlist Course 8: Complex Analysis
Jacob Tsimerman - o-minimality and complex analysis
This is the second talk in the Minerva Mini-course, Applications of o-minimality in Diophantine Geometry, by Jacob Tsimerman, University of Toronto and Princeton's Fall 2021 Minerva Distinguished Visitor
From playlist Minerva Mini Course - Jacob Tsimerman
Functional Analysis - Part 27 - Bounded Inverse Theorem and Example
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Watch the whole series: https://bright.jp-g.de/functional-analysis/ Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCA
From playlist Functional analysis
2020.05.28 Andrew Stuart - Supervised Learning between Function Spaces
Consider separable Banach spaces X and Y, and equip X with a probability measure m. Let F: X \to Y be an unknown operator. Given data pairs {x_j,F(x_j)} with {x_j} drawn i.i.d. from m, the goal of supervised learning is to approximate F. The proposed approach is motivated by the recent su
From playlist One World Probability Seminar
Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 1) by Dror Varolin
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
8ECM Plenary Lecture: Franc Forstnerič
From playlist 8ECM Plenary Lectures
C. Gasbarri - Techniques d’algébrisation en géométrie analytique... (Part 1)
Abstract - Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points commun
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
On the dyadic Hilbert transform – Stefanie Petermichl – ICM2018
Analysis and Operator Algebras Invited Lecture 8.10 On the dyadic Hilbert transform Stefanie Petermichl Abstract: The Hilbert transform is an average of dyadic shift operators. These can be seen as a coefficient shift and multiplier in a Haar wavelet expansion or as a time shifted operat
From playlist Analysis & Operator Algebras
Lecture 6: The Double Dual and the Outer Measure of a Subset of Real Numbers
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=pWs93gASTJk&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
CTNT 2022 - p-adic Fourier theory and applications (by Jeremy Teitelbaum)
This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - Conference lectures and special guest lectures
All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
Stability of the set of quantum states - S. Weis - Workshop 2 - CEB T3 2017
Stephan Weis / 26.10.17 Stability of the set of quantum states A convex set C is stable if the midpoint map (x,y) - (x+y)/2 is open. For compact C the Vesterstrøm–O’Brien theorem asserts that C is stable if and only if the barycentric map from the set of all Borel probability measures to
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester