Is $C^1$ Banach space with usual norm?
97391
Prove that $(C^1[0,1], \|\cdot\|)$ is not a Banach space
139272
On the norm of a quotient of a Banach space.
91750
$l^p$ not norm, $p<1$
57609
Hahn-Banach proof by extension of basis
17336
Least norm in convex set in Banach space
140813
How do i prove that continuous linear transformation between normed spaces is bounded?
28731
Banach space in functional analysis
132491
How to show that $C=C[0,1]$ is a Banach space
157455
Show that the norm of the multiplication operator $M_f$ on $L^2[0,1]$ is $\|f\|_\infty$
124959
Does weak compactness imply boundedness in a normed vector space (not necessarily complete)?
149536
Why is the  $L_p$ norm strictly convex for $1<p<\infty?$
38761
Is the $ L^{p}$$[0,1]$ norm continuous in p?
59697
Is the boundary of the unit sphere in every normed vector space compact?
132869
Show that any bounded linear functional on a normed linear space is continuous
63608
Cauchy sequence in a normed space
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
134492
Proving that a Hölder space is a Banach space