definition of measure space
Topics
About: measure space
The table of contents of this article
Starting Context
- The reader knows a definition of measure over \(\sigma\)-algebra of set.
Target Context
- The reader will have a definition of measure space.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\( (S, A)\): \(\in \{\text{ the measurable spaces }\}\)
\( \mu\): \(\in \{\text{ the measures over } A\}\)
\(*(S, A, \mu)\):
//
Conditions:
//
2: Note
There are also 'signed-measure space' and 'complex-measure space'.
