Functional Analysis 21 | Isomorphisms

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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.

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00:00 Introduction
00:50 Example
04:18 Isomorphism
07:31 Examples

#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)

[TheWombatGuru]

Beautiful and insightful examples. Thank you!

[strai]

I love the effort you put on bruh!!❤️
Just love your functional analysis series

[subashchandrabehera]

So nicely and easily you are explained.
Your efforts appreciate
This video is very much intersting and usefull

[mopmst]

Thank you. Waiting for more functional analysis course

[CRehm]

Die Videos sind unglaublich gut! Chapeau!

[cobrametaliks]

By the end you say that the case for homomorphisms being injective but not surjective happens only in infinite dimensional Banach spaces. Is that just common sense or something deeper ? Is there like an intuitive explanation? Thanks

[brettpowers]

Hey! Love your videos. What program/setup do you use for recording these lectures?

[dibeos]

2:23 shouldn’t the definition of homomorphism for the multiplication operation be f(lamba*x) = f(lambda) * f(x) ? If not, why not? Because that’s the definition I see more oftenly...