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Results tagged with fa.functional-analysis
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user 99951
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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About density of some subsets of infinitely differentiable functions in $C[0,1]$
Let $x_1,...,x_m$ be fixed numbers from $[0,1]$ and let $k_1,..., k_m$ be fixed natural numbers ($\geq 1$).
Is the set
$$\{f\in C^\infty[0,1]: f^{(k_1)}(x_1)=0,...,f^{(k_m)}(x_m)=0 \}$$a dense subset …
- 3