Functional analysis

Countably quasi-barrelled space

In functional analysis, a topological vector space (TVS) is said to be countably quasi-barrelled if every strongly bounded countable union of equicontinuous subsets of its continuous dual space is again equicontinuous. This property is a generalization of quasibarrelled spaces. (Wikipedia).

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Dual Space

Dual spaces and linear functionals In this video, I introduce the concept of a dual space, which is the analog of a "shadow world" version, but for vector spaces. I also give some examples of linear and non-linear functionals. This seems like an innocent topic, but it has a huge number of

From playlist Dual Spaces

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What is space?

What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:

From playlist Science Unplugged: Physics

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What Is A SuperEarth?

The Universe is always surprising us with how little we know about... the Universe. It's continuously presenting us with stuff we never imagined, or even thought possible. The search for extrasolar planets is a great example. Since we started, astronomers have turned up over a thousand

From playlist Planets and Moons

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Super Earths: 10 Major Discoveries

A Super Earth is a planet smaller than Neptune, but larger than Earth. There are no Super Earths in our solar system. But they may be the most common type of planet in our galaxy, according to data from the Kepler Space Telescope. Some have rock or ice cores wrapped in hydrogen and helium

From playlist Spaceten

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Denis Osin: Invariant random subgroups of acylindrically hyperbolic groups

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 Algebra

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Is There More Mass in Empty Space Than Non-Empty Space? Vacuum Chamber vs Space Experiment

In this video I answer the question if there is more mass in the vacuum of space than in all the starts and planets combined. I show you what pressure really is as we watch some Suzy Q's expand in a vacuum chamber. WARNING: This video is for entertainment purposes only. If you use the inf

From playlist The Action Lab And The Theory of Relativity

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Ohad Kammar: An introduction to statistical modelling semantics with higher-order measure theory

HYBRID EVENT Recorded during the meeting "Logic of Probabilistic Programming" February 04, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiov

From playlist Probability and Statistics

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Spaced Out- Zero Gravity

Is there actually such thing as "zero gravity"?

From playlist Spaced Out

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Measure Equivalence, Negative Curvature, Rigidity (Lecture 2) by Camille Horbez

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

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Semantic models for higher-order Bayesian inference - Sam Staton, University of Oxford

In this talk I will discuss probabilistic programming as a method of Bayesian modelling and inference, with a focus on fully featured probabilistic programming languages with higher order functions, soft constraints, and continuous distributions. These languages are pushing the limits of e

From playlist Logic and learning workshop

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The Poisson boundary: a qualitative theory (Lecture 2) by Vadim Kaimanovich

Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o

From playlist Probabilistic Methods in Negative Curvature - 2019

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Measure Equivalence, Negative Curvature, Rigidity (Lecture 1) by Camille Horbez

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

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Schemes 15: Quasicompact, Noetherian

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We define quasi-compact, Noetherian, and locally Noetherian schemes, give a few examples, and show that "locally Noetherian" is a local property.

From playlist Algebraic geometry II: Schemes

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Danny Calegari: Big Mapping Class Groups - lecture 4

Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h

From playlist Topology

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What the V*****

In this fun video, I determine explicitly what V***** (the quintuple dual) looks like. Enjoy! What is a Dual Space: https://youtu.be/OGO3HGlOQO4 Double Dual: https://youtu.be/3ntR99gyKnQ Check out my Dual Spaces Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCs0fJDQnXgeuyF

From playlist Dual Spaces

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Ask the Space Lab Expert: What is Space?

Have you ever wanted to go to Space? In this first episode of Space Lab, Brad and Liam from "World of the Orange" take you on an adventure to discover exactly what is Space. You'll find out about the solar system, the big bang, Sci-Fi movies that are becoming reality, and more!

From playlist What is Space? YouTube Space Lab with Liam and Brad

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A new basis theorem for ∑13 sets

Distinguished Visitor Lecture Series A new basis theorem for ∑13 sets W. Hugh Woodin Harvard University, USA and University of California, Berkeley, USA

From playlist Distinguished Visitors Lecture Series

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Tut4 Glossary of Terms

A short video on terms such as Vector Space, SubSpace, Span, Basis, Dimension, Rank, NullSpace, Col space, Row Space, Range, Kernel,..

From playlist Tutorial 4

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Intrinsic Diophantine approximation (Lecture 1) by Amos Nevo

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

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What is (a) Space? From Zero to Geo 1.5

What is space? In this video, we learn about the many different things that we might call "space". We come up with both a geometric and an algebraic definition, and the discussion also leads us to the important concept of subspaces. Sorry for how long this video took to make! I mention

From playlist From Zero to Geo

Related pages

Balanced set | Hausdorff space | Barrelled space | Functional analysis | Mackey space | Barrelled set | Bornivorous set | H-space | Quasibarrelled space | Sequentially complete | Strong dual space | DF-space | Countably barrelled space | Convex set | Topological vector space | Distinguished space