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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E22">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: LOPBAN_2:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a> holds <br/> (  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="normsp_0.html#V4" title="NORMSP_0:attr.4">reflexive</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="normsp_0.html#V3" title="NORMSP_0:attr.3">discerning</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="normsp_1.html#V2" title="NORMSP_1:attr.2">RealNormSpace-like</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">right_unital</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-distributive</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">vector-distributive</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">scalar-distributive</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V7" title="RLVECT_1:attr.7">scalar-associative</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="funcsdom.html#V2" title="FUNCSDOM:attr.2">vector-associative</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">vector-distributive</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">scalar-distributive</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V7" title="RLVECT_1:attr.7">scalar-associative</a>  &amp;  <a href="lopban_2.html#K9" title="LOPBAN_2:func.9">R_Normed_Algebra_of_BoundedLinearOperators</a> <font color="Olive" title="b1">X</font> is  <a href="rlvect_1.html#V8" title="RLVECT_1:attr.8">scalar-unital</a>  )</div></div>
