Category:L-Infinity Norm

This category contains results about L-Infinity Norm.
Definitions specific to this category can be found in Definitions/L-Infinity Norm.

Let $\map {L^\infty} {X, \Sigma, \mu}$ be the $L^\infty$ space on $\struct {X, \Sigma, \mu}$.

We define the $L^\infty$ norm by:

$\norm {\eqclass f \sim}_\infty = \norm f_\infty$

for each $\eqclass f \sim \in \map {L^\infty} {X, \Sigma, \mu}$, where $\norm \cdot_\infty$ is the supremum seminorm.