<s>
In	O
mathematics	O
,	O
specifically	O
in	O
functional	B-Application
analysis	I-Application
and	O
order	O
theory	O
,	O
an	O
ordered	B-Algorithm
topological	I-Algorithm
vector	I-Algorithm
space	I-Algorithm
,	O
also	O
called	O
an	O
ordered	B-Algorithm
TVS	I-Algorithm
,	O
is	O
a	O
topological	B-Architecture
vector	I-Architecture
space	I-Architecture
(	O
TVS	O
)	O
X	O
that	O
has	O
a	O
partial	O
order	O
≤	O
making	O
it	O
into	O
an	O
ordered	O
vector	O
space	O
whose	O
positive	O
cone	O
is	O
a	O
closed	O
subset	O
of	O
X	O
.	O
</s>
<s>
Ordered	B-Algorithm
TVS	I-Algorithm
have	O
important	O
applications	O
in	O
spectral	O
theory	O
.	O
</s>
