Is $L^{\infty}([0, 1]; \mathbb{R}^{n})$ densely embedded in some Hilbert space?

Asked Oct 31 '22 at 13:12

Active Nov 01 '22 at 13:46

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I'm solving a control problem and I have a question. Is it possible to show that $L^{\infty}([0, 1]; \mathbb{R}^{n})$ is densely embedded in some Hilbert space?

edited Nov 01 '22 at 13:46

asked Oct 31 '22 at 13:12

Rodrigo B. Moreira

What have you attempted to show/prove this? – Oct 31 '22 at 13:15
1

https://math.stackexchange.com/questions/987943/embedding-of-lp-spaces – G. Gare Oct 31 '22 at 13:17

Is $L^{\infty}([0, 1]; \mathbb{R}^{n})$ densely embedded in some Hilbert space?

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