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<div><span class="kw">theorem </span><a NAME="T28"><span class="comment"><font color="firebrick">:: LOPBAN_1:28</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b3">g</font> being   <a href="lopban_1.html#NM1" title="LOPBAN_1:NM.1">LinearOperator</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font> holds <br/> ( <font color="Olive" title="b3">g</font> is  <a href="lopban_1.html#V2" title="LOPBAN_1:attr.2">Lipschitzian</a>  iff  <a href="lopban_1.html#K14" title="LOPBAN_1:func.14">PreNorms</a> <font color="Olive" title="b3">g</font> is  <a href="xxreal_2.html#V4" title="XXREAL_2:attr.4">bounded_above</a>  )</div></div>
