Index of norms and absolute values

This index is for:

• [ilmath]\Vert\cdot\Vert[/ilmath]-like (which are norms) and
• [ilmath]\vert\cdot\vert[/ilmath]-like (which are absolute values)

expressions

Norms

Expression		Index	Context	Details
[math]\|\cdot\|[/math]	[math]\|v\|[/math]		Functional Analysis Real Analysis	Denotes the Norm of a vector
[math]\|\cdot\|_{C^k}[/math]	[math]\|f\|_{C^k}[/math]	CK	Functional Analysis	This Norm is defined by [math]\|f\|_{C^k}=\sum^k_{i=0}\sup_{t\in[0,1]}(|f^{(i)}(t)|)[/math] - note [math]f^{(i)}[/math] is the [math]i^\text{th}[/math] derivative.
[math]\|\cdot\|_\infty[/math]	[math]\|f\|_\infty[/math]	INFINITY	Functional Analysis Real Analysis	It is a norm on [math]C([a,b],\mathbb{R})[/math], given by [math]\|f\|_\infty=\sup_{x\in[a,b]}(|f(x)|)[/math]
[math]\|\cdot\|_{L^p}[/math]	[math]\|f\|_{L^p}[/math]	LP	Functional Analysis	[math]\|f\|_{L^p}=\left(\int^1_0|f(t)|^pdt\right)^\frac{1}{p}[/math] - it is a Norm on [math]\mathcal{C}([0,1],\mathbb{R})[/math]

Absolute values

Expression		Index	Context	Details
[math]|\cdot|[/math]	[math]|x|[/math]		Real analysis Abstract algebra	The traditional Absolute value