I want to show that the embedding of Schwartz space into $C^\infty(\mathbb{R}^n)$ with the standard norm of each space.
I don't quite see how to work with the topologies. Any theorems that I can make use of here?
Embedding of Schwartz space into $C^\infty(\mathbb{R}^n)$?
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real-analysis
schwartz-space
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0Norm, metric, or multinorm? – 2017-02-17
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0@TZakrevskiy Schwartz space the one over https://en.wikipedia.org/wiki/Schwartz_space here, and $C^\infty$ the $\sup_{x\in K\text{ compact}}|\frac{\partial^\alpha}{\partial x^{\alpha}}f|$ one. – 2017-02-17