<s>
In	O
mathematics	O
,	O
Schur	B-Algorithm
's	I-Algorithm
property	I-Algorithm
,	O
named	O
after	O
Issai	O
Schur	O
,	O
is	O
the	O
property	O
of	O
normed	O
spaces	O
that	O
is	O
satisfied	O
precisely	O
if	O
weak	O
convergence	O
of	O
sequences	O
entails	O
convergence	O
in	O
norm	O
.	O
</s>
<s>
A	O
canonical	O
example	O
of	O
this	O
property	O
,	O
and	O
commonly	O
used	O
to	O
illustrate	O
the	O
Schur	O
property	O
,	O
is	O
the	O
sequence	B-Algorithm
space	I-Algorithm
.	O
</s>
<s>
We	O
say	O
that	O
X	O
has	O
Schur	B-Algorithm
's	I-Algorithm
property	I-Algorithm
if	O
converging	O
weakly	O
to	O
implies	O
that	O
.	O
</s>
<s>
In	O
other	O
words	O
,	O
the	O
weak	O
and	O
strong	O
topologies	O
share	O
the	O
same	O
convergent	B-Algorithm
sequences	I-Algorithm
.	O
</s>
