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<b>let </b><font color="Maroon">X</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>, <font color="Maroon">Y</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="clopban1.html#K14" target="_self">C_NormSpace_of_BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span>, <font color="Maroon">g</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="clopban1.html#K14" target="_self">C_NormSpace_of_BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span>, <font color="Maroon">h</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="clopban1.html#K14" target="_self">C_NormSpace_of_BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span>;<br/>



<b>reconsider </b><font color="Maroon">f'</font> = <font color="Maroon">f</font>, <font color="Maroon">g'</font> = <font color="Maroon">g</font>, <font color="Maroon">h'</font> = <font color="Maroon">h</font> as  <a href="clopban1.html#V3" target="_self">bounded</a> <a href="clopban1.html#NM1">LinearOperator</a> of <font color="Maroon">X</font>,<font color="Maroon">Y</font> <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">f1</font> = <font color="Maroon">f</font>, <font color="Maroon">g1</font> = <font color="Maroon">g</font>, <font color="Maroon">h1</font> = <font color="Maroon">h</font> as   <a href="clvect_1.html#NM1">VECTOR</a> of <span class="p1">(<span class="default"><a href="clopban1.html#K9" target="_self">C_VectorSpace_of_BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span> ;<br/>
<a NAME="E3:69"/>
( <font color="Maroon">h</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">g</font> iff <font color="Maroon">h1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">g1</font> )
 
;<br/>
<b>hence </b><a NAME="E4:69"/>
( <font color="Maroon">h</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">g</font> iff for <font color="Olive">x</font> being  <a href="clvect_1.html#NM1">VECTOR</a> of <font color="Maroon">X</font> holds  <font color="Maroon">h</font> <a href="clopban1.html#K15" target="_self">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="clopban1.html#K15" target="_self">.</a> <font color="Olive">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="clopban1.html#K15" target="_self">.</a> <font color="Olive">x</font></span>)</span> )
 <b>by </b><i/>;<br/>


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