Functional Analysis 11 | Orthogonality

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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
00:20 Definitions
01:58 Remark
03:43 Visualisations
04:58 Credits

#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)

[PunmasterSTP]

Orthogonality? More like “These videos have got to be” some of the best on YouTube; thanks so much for making them!

[mahmoudgadelrab]

awesome I have exam at 4-11 -2020 and these contents helps me so much and would be happy that you will download more video of this course as more topics would help me a lot in my exam, Finally I cannot find words to thank you, but hope all success to you and for this creative content

[Prashanth-ynzd]

Can you make videos of Sobolev spaces please?

[afaale]

At 4:56 you didn't say "Bye" ;(

[jaimelima]

Hi. Super Explanations. Do you plan to talk about constructions of type B = <A, A> ? These type of operators are very important in engineering. Thanks!

[sinanakhostin]

At 1:50 you emphasized that U could be a subset (not necessarily a subspace). It means that U might not have the zero vector. Am I right?

[earnlarrenzagadovalmoria]

it's too late for my report but hopefully you can make a video regarding orthonormal set and sequences

[KaiseruSoze]

How do you distinguish between "linearly independent" and "orthogonal"?

[hashimm]

Please give class £p is separable but£ infinite is not separable