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The norm of a symmetric elementary operator
Authors:Bojan Magajna
Affiliation:Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana 1000, Slovenia
Abstract:The norm of the operator $xmapsto a^*xb+b^*xa$ on $A= {mathrm B}(mathcal{H})$(or on any prime C$^*$-algebra $A$) is computed for all $a,bin A$ and is shown to be equal to the completely bounded norm.

Keywords:Elementary operator   completely bounded map
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