Is the $ L^1$ norm continuous in the following sense?
115417
Continuity of $L^1$ functions with respect to translation
53841
Function always continuous in a Sobolev Space?
71001
Do continuous linear functions between Banach spaces extend?
118903
The sup norm on $C[0,1]$ is not equivalent to another one, induced by some inner product
146026
What is the norm of this bounded linear functional?
9159
$L^p$-norm of a non-negative measurable function
62887
Proof that a linear transformation is continuous
144656
Linear functional and a bounded norm
38584
$T\colon L^2[0,1] \to L^2[0,1]$ be a bounded linear map of Hilbert spaces such that if $f\in L^2[0,1]$ is continuous then so is $Tf$.
149997
Convolution operator has norm 1 with respect to $L^2$ norm
96363
How to show that $\mathbb R^n$ with the $1$-norm is not isometric to $\mathbb R^n$ with the infinity norm for $n>2$?
155621
Finiteness of the dimension of a normed space and compactness
60521
Continuity of a convex function
64619
Continuity of a function of product spaces
59697
Is the boundary of the unit sphere in every normed vector space compact?
139272
On the norm of a quotient of a Banach space.
40209
$f : S^1 \to\mathbb R$ is continuous then $f(x)=f(-x)$ for some $x\in S^1$