Proceedings of the American Mathematical Society

Author(s): Bojan Magajna
Journal: Proc. Amer. Math. Soc. 132 (2004), 1747-1754.
MSC (2000): Primary 47B47
Posted: October 8, 2003
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Abstract: The norm of the operator $x\mapsto a^*xb+b^*xa$ on $A= {\mathrm B}(\mathcal{H})$ (or on any prime C

-algebra

) is computed for all $a,b\in A$ and is shown to be equal to the completely bounded norm.

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