Sturm-Liouville theory and Stone-Weierstrass conditions

[mplltt]

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

 

[mplltt]

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

 

[Lonewolf]

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?