Definition of Measurability. Meaning of Measurability. Synonyms of Measurability

- definitions of measurability, such as weak measurability and Bochner measurability, exist. Random variables are by definition measurable functions defined...
- relationship between measurability and weak measurability is given by the following result, known as Pettis' theorem or Pettis measurability theorem. Function...
- relationship between measurability and weak measurability is given by the following result, known as Pettis' theorem or Pettis measurability theorem. A function...
- values in a Banach space (or Fréchet space), strong measurability usually means Bochner measurability. However, if the values of f lie in the space L (...
- In mathematics, progressive measurability is a property in the theory of stochastic processes. A progressively measurable process, while defined quite...
- A{\displaystyle A} of a Polish space X{\displaystyle X} is universally measurable if it is measurable with respect to every complete probability measure on X{\displaystyle...
- In mathematics, a measurable space or Borel space is a basic object in measure theory. It consists of a set and a σ-algebra, which defines the subsets...
- In mathematics, a measurable cardinal is a certain kind of large cardinal number. In order to define the concept, one introduces a two-valued measure on...
- In mathematics, a non-measurable set is a set which cannot be ****igned a meaningful "volume". The mathematical existence of such sets is construed to provide...
- a measurable set. The Carathéodory criterion is of considerable importance because, in contrast to Lebesgue's original formulation of measurability, which...