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<a NAME="E1:2_1_1"/><i><font color="Green">E34</font></i>: 
 <a href="lopban_1.html#K16">R_NormSpace_of_BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font> <a href="hidden.html#R1">=</a>  <a href="normsp_1.html#G1">NORMSTR</a>(# <span class="p1">(<span class="default"><a href="lopban_1.html#K10">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K10">Zero_</a> <span class="p2">(<span class="default"><a href="lopban_1.html#K10">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K8">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K8">Add_</a> <span class="p2">(<span class="default"><a href="lopban_1.html#K10">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K8">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="rsspace.html#K9">Mult_</a> <span class="p2">(<span class="default"><a href="lopban_1.html#K10">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K8">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="lopban_1.html#K15">BoundedLinearOperatorsNorm</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span> #)
 
<b>by </b><i><a class="ref" href="lopban_1.html#D15">LOPBAN_1:def 15</a></i>;<br/>
<a NAME="E2:2_1_1"/>
<span class="p1">(<span class="default"><a href="lopban_1.html#K13">modetrans</a> <font color="Maroon">g</font>,<font color="Maroon">Y</font>,<font color="Maroon">Z</font></span>)</span> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><a href="lopban_1.html#K13">modetrans</a> <font color="Maroon">f</font>,<font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> is  <a href="lopban_1.html#V3">bounded</a> <a href="lopban_1.html#NM1">LinearOperator</a> of <font color="Maroon">X</font>,<font color="Maroon">Z</font>
 
<b>by </b><i><a class="ref" href="lopban_2.html#T2">LOPBAN_2:2</a></i>;<br/>
<b>hence </b><a NAME="E3:2_1_1"/>
<span class="p1">(<span class="default"><a href="lopban_1.html#K13">modetrans</a> <font color="Maroon">g</font>,<font color="Maroon">Y</font>,<font color="Maroon">Z</font></span>)</span> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><a href="lopban_1.html#K13">modetrans</a> <font color="Maroon">f</font>,<font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="lopban_1.html#K16">R_NormSpace_of_BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Z</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="lopban_1.html#D10">LOPBAN_1:def 10</a></i>;<br/>


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