<s>
In	O
functional	B-Application
analysis	I-Application
and	O
related	O
areas	O
of	O
mathematics	O
,	O
the	O
beta-dual	O
or	O
-dual	O
is	O
a	O
certain	O
linear	O
subspace	O
of	O
the	O
algebraic	O
dual	O
of	O
a	O
sequence	B-Algorithm
space	I-Algorithm
.	O
</s>
<s>
The	O
beta-dual	O
of	O
an	O
FK-space	B-Algorithm
is	O
a	O
linear	O
subspace	O
of	O
the	O
continuous	O
dual	O
of	O
.	O
</s>
<s>
If	O
is	O
an	O
FK-AK	B-Algorithm
space	I-Algorithm
then	O
the	O
beta	B-Algorithm
dual	I-Algorithm
is	O
linear	O
isomorphic	O
to	O
the	O
continuous	O
dual	O
.	O
</s>
