<s>
In	O
the	O
area	O
of	O
mathematics	O
known	O
as	O
functional	B-Application
analysis	I-Application
,	O
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
is	O
an	O
important	O
example	O
in	O
the	O
theory	O
of	O
Banach	O
spaces	O
and	O
commonly	O
serves	O
as	O
useful	O
counterexample	O
to	O
general	O
statements	O
concerning	O
the	O
structure	O
of	O
general	O
Banach	O
spaces	O
.	O
</s>
<s>
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
serves	O
as	O
an	O
example	O
of	O
a	O
space	O
that	O
is	O
isometrically	O
isomorphic	O
to	O
its	O
double	O
dual	O
,	O
while	O
not	O
being	O
reflexive	O
.	O
</s>
<s>
Furthermore	O
,	O
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
has	O
a	O
basis	O
,	O
while	O
having	O
no	O
unconditional	O
basis	O
.	O
</s>
<s>
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
is	O
a	O
Banach	O
space	O
.	O
</s>
<s>
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
is	O
not	O
reflexive	O
.	O
</s>
<s>
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
is	O
however	O
isometrically	O
isomorphic	O
to	O
its	O
double	O
dual	O
.	O
</s>
<s>
James	B-Algorithm
 '	I-Algorithm
space	I-Algorithm
is	O
somewhat	O
reflexive	O
,	O
meaning	O
every	O
closed	O
infinite-dimensional	O
subspace	O
contains	O
an	O
infinite	O
dimensional	O
reflexive	O
subspace	O
.	O
</s>
