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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/>

<a NAME="E1:48"/>
 <a href="lopban_1.html#K10" target="_self">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font> is <a href="rlsub_1.html#V1">lineary-closed</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:48"/>
 <a href="rlvect_1.html#G2">RLSStruct</a>(# <span class="p1">(<span class="default"><a href="lopban_1.html#K10" target="_self">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</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" target="_self">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K8" target="_self">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</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" target="_self">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K8" target="_self">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</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" target="_self">BoundedLinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span>,<span class="p2">(<span class="default"><a href="lopban_1.html#K8" target="_self">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font></span>)</span></span>)</span> #) is    <a href="rlsub_1.html#M1">Subspace</a> of  <a href="lopban_1.html#K8" target="_self">R_VectorSpace_of_LinearOperators</a> <font color="Maroon">X</font>,<font color="Maroon">Y</font>
 <b>by </b><i><a class="ref" href="rsspace.html#T13">RSSPACE:13</a></i>;<br/>


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