Functional Analysis – Part 8 – Inner Products and Hilbert Spaces

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths
Or support me via PayPal: https://paypal.me/brightmaths

Functional analysis series: https://www.youtube.com/playlist?list=PLBh2i93oe2qsGKDOsuVVw-OCAfprrnGfr

PDF versions: https://steadyhq.com/en/brightsideofmaths/posts/c6641292-1666-4a24-a4b9-cd9c4147d7d3

Official supporters in this month:
– Petar Djurkovic
– John Stroughair
– Yannis Newell
– Alex Williams
– Raghav Somani
– Frank Huettner
– John Tambroni
– William Ripley
– Fabio Saba
– Marie Punsmann
– Daniel Janzon
– Haitong Xu
– Dov Bulka
– Animesh Saxena
– Igor Kuvychko
– Petar Petrov
– Oleksandr Shchur
– Lukas Mührke
– Julio Cesar Campos Neto
– Andres Fuentes
– Sunayan Acharya
– Joel Miller
– Tianyi Zhang
– Mayra Sharif
– Cameron Boroumand
– Kostia Maksymenko
– Andrey Kamchatnikov
– ROBERT ROSENBLUM
– myrick crampton
– Benjamin Bellick
– sarah kim
– Nathan Crock
– Lloyd Gavin

This video is about inner products and Hilbert spaces. A Hilbert space is very important object in functional analysis and has a lot of applications that I explain later in the series.

00:00 Introduction
02:25 Inner product definition
06:25 Norm and Hilbert space

I hope that this helps students, pupils and others. Have fun!

#FunctionalAnalysis

(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)

You May Also Like