Norm in $ \ell_{\infty} /c_0 $
50160
The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.
82018
Norm equivalence (Frobenius and infinity)
63516
$C^1[0,1]$ is not complete with respect to sup norm
145535
Product norm on infinite product space
104148
Showing the norm' is non-negative
127248
Norm and unit sphere
90350
How can we replace $\sup$ with $\max$ in definition of subordinate norm for finite-dimensional vector space?
31672
$L^p$-norm of the gradient of a harmonic function.
74501
$\delta : C([0,1])\to\mathbb{R}$, $f\mapsto f(0)$, with sup-norm is bounded but unbounded with one-norm.
139272
On the norm of a quotient of a Banach space.
153166
Strong and weak convergence in $\ell^1$
63608
Cauchy sequence in a normed space
116273
Does every $\mathbb{R},\mathbb{C}$ vector space have a norm?
14840
$c_0$ is a closed subspace of $l^{\infty}$
59929
Why is $(e_n)$ not a basis for $\ell_\infty$?
11558
How to show that the limit of compact operators in the operator norm topology is compact
144656
Linear functional and a bounded norm