Mfw realizing functions from [math] mathbb{R} to mathbb{R} [/math] are just uncountably-infinite dimensional vectors

>mfw realizing functions from [math] \mathbb{R} \to \mathbb{R} [/math] are just uncountably-infinite dimensional vectors
>integrals are just a way to sum uncountably many values that are zero
>because we have a norm on an [math]L^p[/math] space, we can define a topology, and given the topology we can make a Borel [math]\sigma[/math]-algebra on [math] L^p [/math] creating the measurable space [math](L^p(S), \mathcal{B}(L^p(S))[/math]
>on this space we can create a new [math]L^p[/math]-space
>we can continue in this manner until we have any number of embedded [math]L^p[/math]-spaces
>mfw realizing all this

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Bump brainlets

Yes but this is all basic analysis

Who are you quoting?

OP really shouldn't show off. Especially when his grand revelations are just either basic facts or wrongheaded interpretations.

who is this semen demon

Chloe kiketz

I don't think OP is trying to show off since the use of the word "just" suggests that he recognizes the triviality of the interpretation.

That said OP should probably have posted in > instead of taking up a thread with this.

OP here where can I read more about the stuff on [math]L^p[/math] spaces on [math]L^p[/math] spaces?

Depends on your field of interest (what you've described can bleed into functional analysis, CS, statistics, or even quantitative finance).
Off the top of my head you may want to look into spectral theory, and I'll namedrop Mercer's theorem because that's the main thing I remember from the stats class I took a long time ago.