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<b>let </b><font color="Maroon">X</font> be   <a href="normsp_1.html#NM1">RealNormSpace</a>, <font color="Maroon">Y</font> be   <a href="normsp_1.html#NM1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon">f</font> be  <a href="lopban_1.html#V3" target="_self">bounded</a> <a href="lopban_1.html#NM1">LinearOperator</a> of <font color="Maroon">X</font>,<font color="Maroon">Y</font>;<br/>



<a NAME="E1:64"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="lopban_1.html#K10" target="_self">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font>
 
<b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">f'</font> = <font color="Maroon">f</font> as    <a href="hidden.html#M1">set</a>  ;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="lopban_1.html#K15" target="_self">BoundedLinearOperatorsNorm</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">f</font> = 
 <a href="pscomp_1.html#K2">sup</a> <span class="p1">(<span class="default"><a href="lopban_1.html#K14" target="_self">PreNorms</a> <span class="p2">(<span class="default"><a href="lopban_1.html#K13" target="_self">modetrans</a> <font color="Maroon">f'</font>,<font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
 <a href="pscomp_1.html#K2">sup</a> <span class="p1">(<span class="default"><a href="lopban_1.html#K14" target="_self">PreNorms</a> <font color="Maroon">f</font></span>)</span>
<b>by </b><i/>
;<br/>


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