Prove that the general norm equation satisfies the triangle inequality for n-dimensions
17164
How do you show monotonicity of the $\ell^p$ norms?
66084
Prove 1-Norm is a Norm
88956
For any three vectors $x,y,z\in\mathbb{R}^d$, we have $ \|y-z\|\cdot\|x\|\leq\|x-y\|\cdot\|z\|+\|z-x\|\cdot\|y\|$
31672
$L^p$-norm of the gradient of a harmonic function.
81112
Proving that the dual of the $\mathcal{l}_p$ norm is the $\mathcal{l}_q$ norm.
119479
Derivative with respect to a 2-norm
34272
Proving definition of norms induced by vector norms
115464
Inequality involving inner product and norm
19415
Proof that every finite dimensional normed vector space is complete
51267
Showing a generalized version of the Hölder inequality for $L^{p}$ spaces
27954
Prove triangle inequality using the properties of absolute value
10478
Matrix reciprocal positive to prove $λ_{max⁡}=n$
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
117175
Proof that the 2-norm of orthogonal transformation of a matrix is invariant
77493
Classic $c_r$-inequality in $l_r$ space: $E(|X+Y|^r)\leq c_r[E(|X|^r)+E(|Y|^r)]$
116382
Showing convexity of a function with the restriction over an arbitrary line
57619
Norms Induced by Inner Products and the Parallelogram Law