<s>
In	O
mathematics	O
,	O
an	O
O*	B-Algorithm
-algebra	I-Algorithm
is	O
an	O
algebra	B-Algorithm
of	O
possibly	O
unbounded	B-Algorithm
operators	I-Algorithm
defined	O
on	O
a	O
dense	O
subspace	O
of	O
a	O
Hilbert	O
space	O
.	O
</s>
<s>
The	O
original	O
examples	O
were	O
described	O
by	O
and	O
,	O
who	O
studied	O
some	O
examples	O
of	O
O*	B-Algorithm
-algebras	I-Algorithm
,	O
called	O
Borchers	O
algebras	O
,	O
arising	O
from	O
the	O
Wightman	O
axioms	O
of	O
quantum	O
field	O
theory	O
.	O
</s>
<s>
and	O
began	O
the	O
systematic	O
study	O
of	O
algebras	O
of	O
unbounded	B-Algorithm
operators	I-Algorithm
.	O
</s>
