Category:Restricted Measures
Jump to navigation
Jump to search
This category contains results about restricted measures.
Let $\struct {X, \Sigma, \mu}$ be a measure space.
Let $\Sigma'$ be a sub-$\sigma$-algebra of $\Sigma$.
Then the restricted measure on $\Sigma'$ or the restriction of $\mu$ to $\Sigma'$ is the mapping $\nu: \Sigma' \to \overline \R$ defined by:
- $\forall E' \in \Sigma': \map \nu {E'} = \map \mu {E'}$
That is, $\nu$ is the restriction $\mu \restriction_{\Sigma'}$.
Pages in category "Restricted Measures"
The following 3 pages are in this category, out of 3 total.