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Weak order unit
In
mathematics
,
specifically
in
order theory
and
functional analysis
, an
element
x
of a
vector lattice
X
is called a
weak order
unit
in
X
if
x
≥ 0 and for all
y
in
X
,
inf
= 0
implies
y
= 0.
Examples
If
X
is a
separable
Fréchet
topological vector lattice
then the set of
weak
order
units
is
sense
in the
positive cone
of
X
.
