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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Lm813A</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: DUALSP03:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b1">X</font> is  <a href="dualsp02.html#V1" title="DUALSP02:attr.1">Reflexive</a>  holds <br/>( <font color="Olive" title="b2">x</font> is  <a href="dualsp03.html#V1" title="DUALSP03:attr.1">weakly-convergent</a>  iff <span class="p1">(<span class="default"><a href="dualsp02.html#K2" title="DUALSP02:func.2">BidualFunc</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b2">x</font> is  <a href="dualsp03.html#V2" title="DUALSP03:attr.2">weakly*-convergent</a>  )</div></div>
