- and in
particular measure theory, a
measurable function is a
function between the
underlying sets of two
measurable spaces that
preserves the structure...
- Bochner-
measurable function taking values in a
Banach space is a
function that
equals almost everywhere the
limit of a
sequence of
measurable countably-valued...
- be ****igned a
Lebesgue measure are
called Lebesgue-
measurable; the
measure of the Lebesgue-
measurable set A is here
denoted by λ(A).
Henri Lebesgue described...
- 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,
progressive measurability is a
property in the
theory of
stochastic processes. A
progressively measurable process,
while defined quite...
- {\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...
- {\displaystyle (X,\Sigma )} is
called a
measurable space, and the
members of Σ {\displaystyle \Sigma } are
called measurable sets. A
triple ( X , Σ , μ ) {\displaystyle...
- In mathematics, a non-
measurable set is a set
which cannot be ****igned a
meaningful "volume". The
existence of such sets is
construed to
provide information...
-
weakly measurable function taking values in a
Banach space is a
function whose composition with any
element of the dual
space is a
measurable function...
-
every locally measurable set is also
measurable. A set E {\displaystyle E} , not
necessarily measurable, is said to be a
locally measurable set if for every...
