Norms and CB norms of Jordan elementary operators

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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.
To appear in Bull Sci Math

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Operator Algebras, 47B47, 46L07, 47L25

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http://salesiana.dossiersoluciones.com/handle/123456789/68272

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308070
 http://arxiv.org/abs/math/0308070

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arXiv