measurable space meaning in Hindi

Examples

1. The complexes of a measurable space are called "'measurable sets " '.
2. However, the definition above is valid for any measurable space E of values.
3. Every subset of a measurable space is itself a measurable space.
4. Every subset of a measurable space is itself a measurable space.
5. A measure space is a measurable space endowed with a measure.
6. Standard measurable spaces ( called also standard Borel spaces ) are especially useful.
7. Every probability measure on a standard measurable space leads to a standard probability space.
8. Commutative self-adjoint operator algebras can be regarded as the algebra of standard measurable space.
9. Measurable sets, given in a measurable space by definition, lead to measurable functions and maps.
10. All uncountable standard measurable spaces are mutually isomorphic.