Mathematics – Operator Algebras
Scientific paper
2005-09-21
Mathematics
Operator Algebras
27 pages, J. Operator Theory (to appear)
Scientific paper
We present a formula for the norm of an elementary operator on a C*-algebra
that seems to be new. The formula involves (matrix) numerical ranges and a kind
of geometrical mean for positive matrices, the tracial geometric mean, which
seems not to have been studied previously and has interesting properties. In
addition, we characterise compactness of elementary operators.
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