vector space of continuously differentiable functions is complete regarding a specific norm
93511
Prove that $C^1([a,b])$ with the $C^1$- norm is a Banach Space
86993
Differentiable injective function betweem manifolds
31672
$L^p$-norm of the gradient of a harmonic function.
71140
Pointwise limit of the sequence of continuously differentiable functions defined inductively.
34272
Proving definition of norms induced by vector norms
97382
Continuous differentiability implies Lipschitz continuity
15839
equivalent norms in Banach spaces of infinite dimension
97158
Prove that the operator norm is a norm
60685
The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $
67625
$C([0, 1])$ is not complete with respect to the norm $\lVert f\rVert _1 = \int_0^1 \lvert f (x) \rvert \,dx$
112548
Existence of non-trivial linear functional on any vector space
43874
Differentiability implies continuity - A question about the proof
52104
A pseudometric on the space of the measurable functions is complete
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
127000
When does $V = \ker(f) \oplus \operatorname{im}(f)$?
116273
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
127114
Differentiability implying continuity