Functional Analysis 6 | Norms and Banach Spaces

The Bright Side of Mathematics β€’ September 14, 2020
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πŸ“ Access all videos and PDFs: https://tbsom.de/s/fa πŸ‘ Become a member on Steady: https://steadyhq.com/en/brightsideofmaths πŸ‘ Or become a member on Patreon: https://www.patreon.com/bsom Other possibilities here: https://tbsom.de/sp You can also support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Join this channel on YouTube: https://www.youtube.com/channel/UCdwo4k1RQHTcq_-WS7Cazqg/join πŸ’¬ Access to the community forum: https://thebrightsideofmathematics.com/community/ πŸ•š Early access for videos: https://thebrightsideofmathematics.com/early_access/ ❓ FAQ: https://thebrightsideofmathematics.com/about/help/ πŸ› οΈ What tools do you use: https://thebrightsideofmathematics.com/tools/ πŸ“š Download my books: https://thebrightsideofmathematics.com/books/ πŸ†“ Ad-free access to all videos: https://thebrightsideofmathematics.com/ad-free_access/ ▢️ Exclusive supporter videos: https://tbsom.de/s/fa πŸ‘ Your name at the top in the credits of the upcoming videos! (opt-out possible) πŸ“ PDF versions, quizzes, and Python scripts: https://tbsom.de/s/fa Please consider to support me if this video was helpful such that I can continue to produce them :) Each supporter gets access to the additional material. If you need more information, just send me an email: https://tbsom.de/s/mail Watch the whole video series about Functional Analysis and download PDF versions and quizzes: https://tbsom.de/s/fa Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: https://tbsom.de/s/subscribe πŸŒ™ There is also a dark mode version of this video: https://youtu.be/Slmtlv3g0C8 πŸ”† There is also a bright mode version of this video: https://youtu.be/imYQJOgUx7Y πŸ”† To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr πŸŒ™ And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2quoBhxyar1rvLTOePOkUf7G πŸ™ Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Functional Analysis where we start with metric spaces, talk about operators and spectral theory, and end with the famous Spectral Theorem. I hope that it will help everyone who wants to learn about it. x 00:00 Introduction 00:33 Definition (norm) 04:17 Normed space 04:50 Connection to metrics 06:00 Banach space #FunctionalAnalysis #VectorSpaces #Mathematics #LearnMath #calculus I hope that this helps students, pupils and others. Have fun! (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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