So I have to show the separability of $Lp[0,1]$. My idea was to use step functions with rational values which should be dense in the set of all step functions. But I´m not sure if my idea was the right one and I don´t know how to formulate the proof mathematically then.
2026-04-04 06:17:58.1775283478
Proof of separability of $Lp[0,1]$ spaces
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