Banach spaces | Functional analysis

Bs space

In the mathematical field of functional analysis, the space bs consists of all infinite sequences (xi) of real numbers or complex numbers such that is finite. The set of such sequences forms a normed space with the vector space operations defined componentwise, and the norm given by Furthermore, with respect to metric induced by this norm, bs is complete: it is a Banach space. The space of all sequences such that the series is convergent (possibly conditionally) is denoted by cs. This is a closed vector subspace of bs, and so is also a Banach space with the same norm. The space bs is isometrically isomorphic to the Space of bounded sequences via the mapping Furthermore, the space of convergent sequences c is the image of cs under (Wikipedia).

Video thumbnail

A01 An introduction to a series on space medicine

A new series on space medicine.

From playlist Space Medicine

Video thumbnail

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

Video thumbnail

若田宇宙飛行士のISSツアー

国際宇宙ステーション(ISS)に長期滞在中の若田光一宇宙飛行士が、ISS内を紹介します。(2009年4月4日撮影)(C)NASA/JAXA

From playlist Living in Space - Jaxa

Video thumbnail

野口宇宙飛行士のISSでの運動の様子

国際宇宙ステーション(ISS)長期滞在中の野口聡一宇宙飛行士が、ISSでの運動の様子を紹介します。(C)NASA/JAXA

From playlist Living in Space - Jaxa

Video thumbnail

野口宇宙飛行士のISSツアー

国際宇宙ステーション(ISS)に長期滞在中の野口聡一宇宙飛行士が、国際宇宙ステーション(ISS)内を紹介します。(STS-131(19A)ミッション直前に撮影したものです)(C)NASA/JAXA

From playlist Living in Space - Jaxa

Video thumbnail

Benjamini-Schramm Limits of Finite Volume Manifolds (Lecture-4) by Ian Biringer

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

Video thumbnail

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

Video thumbnail

Math 060 110617C Method of Least Squares

Review of relevant results. Motivation of the problem. Rephrasal of the problem. Theorem: the unique vector in a subspace closest to a vector external to that subspace. Method of Least Squares: the normal equation. Constructing the orthogonal projection operator onto the range of A.

From playlist Course 4: Linear Algebra (Fall 2017)

Video thumbnail

Boreal Summer Intraseasonal Variability (Special Tutorial 1) by Eric Daniel Maloney

DISCUSSION MEETING: AIR-SEA INTERACTIONS IN THE BAY OF BENGAL FROM MONSOONS TO MIXING ORGANIZERS : Eric D'Asaro, Rama Govindarajan, Manikandan Mathur, Debasis Sengupta, Emily Shroyer, Jai Sukhatme and Amit Tandon DATE & TIME : 18 February 2019 to 23 February 2019 VENUE : Ramanujan Lecture

From playlist Air-sea Interactions in The Bay of Bengal From Monsoons to Mixing 2019

Video thumbnail

Building Shelter | How to Survive on Mars

The biggest thinkers from around the world discuss how to find and build shelter on Mars. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Watch all clips of MARS here: http://bit.ly/WatchMARS ➡ Get More MARS: http://bit.ly/NatGeoMARS About MARS: From executive producers Brian Grazer & Ron H

From playlist Outer Space | National Geographic

Video thumbnail

Results in Flavour Physics by Guy Wilkinson

Candles of Darkness DATE: 05 June TIME2017 to 09 June 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore DARK MATTER AND THE SEARCH FOR PHYSICS BEYOND THE STANDARD MODEL "Darkness is your candle. Your boundaries are your quest."- Jalal-ud-din Rumi of Balkh (1207 - 1273) High energy Phys

From playlist Candles of Darkness

Video thumbnail

5 Things BSPWM Does Better than i3wm

Today I talk about a few of the things I prefer in BSWPM over my old flame, i3. Patreon - https://patreon.com/thelinuxcast Liberapay - https://liberapay.com/thelinuxcast/ ===== Thanks to Our Patrons! ==== Devon C. -- Tier 4 Patron Chris - Tier 4 Patron EastCoastWeb - Tier 4 Patron Gent

From playlist Versus

Video thumbnail

Indian Contribution to CMS by Sanjay Swain

DISCUSSION MEETING PARTICLE PHYSICS: PHENOMENA, PUZZLES, PROMISES ORGANIZERS: Amol Dighe, Rick S Gupta, Sreerup Raychaudhuri and Tuhin S Roy, Department of Theoretical Physics, TIFR, India DATE: 21 November 2022 to 23 November 2022 VENUE: Ramanujan Lecture Hall and Online While the LH

From playlist Particle Physics: Phenomena, Puzzles, Promises - (Edited)

Video thumbnail

Cold Storage Between Jupiter and Mars | Cosmos: A Spacetime Odyssey

Are there any mementos from when the Earth was born? ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Cosmos: http://bit.ly/NG-Cosmos About Cosmos: A Spacetime Odyssey: Hosted by renowned astrophysicist Neil deGrasse Tyson, COSMOS will explore how we discovered the laws of nature and

From playlist Outer Space | National Geographic

Video thumbnail

How Cold is Space?

In this short explainer, Universe Today publisher Fraser Cain researchers how cold space is. What temperature do astronauts experience? What about Pluto, or the depths of space. What's the coldest possible temperature space can get? http://www.universetoday.com/77070/how-cold-is-space/ -

From playlist Guide to Space

Video thumbnail

[BOURBAKI 2017] 21/10/2017 - 2/4 - Simon RICHE

La théorie de Hodge des bimodules de Soergel [d'après Soergel et Elias-Williamson] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/In

From playlist BOURBAKI - 2017

Video thumbnail

Torsional waves in the Earth’s core by Christopher Andrew Jones (and welcome remarks)

GdR Dynamo 2015 PROGRAM LINK: www.icts.res.in/program/GDR2015 DATES : 01 Jun, 2015 - 12 Jun, 2015 VENUE : ICTS-TIFR, IISc campus, Bangalore DESCRIPTION : Dynamo or self-induced magnetic field generation in nature and laboratory is a very important area of research in physics, astrop

From playlist GdR Dynamo 2015

Video thumbnail

Excel Name Trick #12 Part 1: F2 Key and Apply Names

Download Excel Files: Start File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/ExcelNamesSeries1-12.xls Finished File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/ExcelArrayFormulaSeries1-14Finished.xls Full Page With All File Links: http://people.highline.edu/mgirvin/

From playlist Excel Names Series

Video thumbnail

How to Install BSPWM - How not to install Lemonbar and Polybar

In another video where Matt knows not what he is doing, he walks through the process of installing bswpm from scratch (successfully), lemonbar from scratch (unsuccessfully), and Polybar (eventually successfully). Note: At the beginning, I say that this is for Arch users only, don't pay

From playlist Linux Tutorials

Video thumbnail

Can You Believe It? #36 What is Space? (1 of TBD) Introduction

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn what is in the “space” in between our space. Previous video in this series can be seen at: https://youtu.be/zB-UTf8bP8

From playlist CAN YOU BELIEVE IT?

Related pages

Convergent series | Series (mathematics) | Banach space | Functional analysis | Vector space | Conditional convergence | C space | Mathematics | Isometry | Complete metric space | Closed set | Isomorphism