Understanding Sturn-Liouville Theory: Stone-Weierstrass Conditions Explained

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https://www.physicsforums.com/attachments/7087https://www.physicsforums.com/attachments/7091The same conditions from Stone-Weierstrass apply.
 
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Sorry about the links

This is the Stone-Weierstrass I was talking about.

https://www.physicsforums.com/attachments/7094

Please! I must solve this problem:

https://www.physicsforums.com/attachments/7095

Thanks for the help
-M
 
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What does it mean for an infinite dimensional vector space to have a basis? How do the notions of linear independence and a generating set translate into the infinite dimensional setting?
 
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