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<b>let </b><font color="Maroon">X</font> be   <a href="csspace.html#NM1">ComplexUnitarySpace</a>;<br/><b>let </b><font color="Maroon">seq</font> be   <a href="normsp_1.html#NM2">sequence</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><a NAME="E1:14"/>
<font color="Maroon">seq</font> is <a href="clvect_3.html#V1" target="_self">summable</a>
 ;<br/>

<a NAME="E2:14"/><b>then </b>
 <a href="clvect_3.html#K1" target="_self">Partial_Sums</a> <font color="Maroon">seq</font> is <a href="clvect_2.html#V1">convergent</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:14"/>
 <a href="clvect_3.html#K1" target="_self">Partial_Sums</a> <font color="Maroon">seq</font> is <a href="clvect_2.html#V3">bounded</a>
 <b>by </b><i><a class="ref" href="clvect_2.html#T80">CLVECT_2:80</a></i>;<br/>


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