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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E30">Th30</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: REAL_NS3:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">W</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b3">L</font> being   <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">W</font>  st <font color="Olive" title="b3">L</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp; <font color="Olive" title="b3">L</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a>  &amp; <font color="Olive" title="b3">L</font> is  <a href="real_ns3.html#V1" title="REAL_NS3:attr.1">isometric-like</a>  holds <br/><font color="Olive" title="b3">L</font> is  <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  ;<br/></div></div>
