Norms and CB norms of Jordan elementary operators

Details Norms and CB norms of Jordan elementary operators Norms and CB norms of Jordan elementary operators

2003-08-07

arxiv.org/abs/math/0308070v1

Mathematics

Operator Algebras

To appear in Bull Sci Math

Scientific paper

We establish lower bounds for norms and CB-norms of elementary operators on
B(H). Our main result concerns the operator Tx = axb + bxa and we show its norm
is at least the product of the norms of a and b, proving a conjecture of M.
Mathieu. We also establish some other results and formulae for the CB norm and
norm of such T for special cases.

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