Proof of $L^p $ norm
10383
The $ l^{\infty} $-norm is equal to the limit of the $ l^{p} $-norms.
34865
prove Eckart-Young-Minsky theorem for Frobinius norm.
23677
"Scaled $L^p$ norm" and geometric mean
68153
How to show that $L^p$ spaces are nested?
144656
Linear functional and a bounded norm
91750
$l^p$ not norm, $p<1$
33673
Proving $N(x) = (A(x,x))^\frac12$ is a norm in $V$ given that A is a positive definite bilinear form
134492
Proving that a Hölder space is a Banach space
142785
How can I prove Holder inequality for $0<p<1$?
8503
Limit of $L^p$ norm when $p\to0$
51302
Show that the operator norm is submultiplicative
139272
On the norm of a quotient of a Banach space.
60761
Proof: $\cos^p (\theta) \le \cos(p\theta)$
150572
Explicit norm on $\mathcal{C}^0(\mathbb{R},\mathbb{R})$
50160
The quotient norm on $\ell^{\infty}(\mathbb{N}) / c_0 (\mathbb{N})$ is given by $\limsup_{n \in \mathbb{N}} |x_n|$.
93165
A projection satisfying $\| Px \| \leq \|x\|$ for all $x$ is an orthogonal projection
125899
Prove$ L^2$ inner product satisfies positivity