Functional Analysis 16 | Compact Sets
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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.
x
00:00 Introduction
00:40 Compactness in R^n
01:46 Definition: sequentially compact
04:00 Examples
05:52 Proposition: compact implies closed and bounded
07:14 Proof
#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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