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On the norm of symmetrised two-sided multiplications

Published online by Cambridge University Press:  17 April 2009

Bojan Magajna  and
Aleksej Turnšek
Bojan Magajna
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia, e-mail: bojan.magajna@fmf.uni-lj.si
Aleksej Turnšek
Affiliation:
Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia, e-mail: aleksej.turnsek@fs.uni-lj.si
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Abstract

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The authors provide precise lower bounds for the completely bounded norm of the operator Ta,b: ß(H) → ß(H) defined by Ta,b (x) = axb + bxa and the injective norm of the corresponding tensor. Further, they compute the norm of the operator x ↦ a*xb + b*xa acting on the space of all conjugate-linear operators on H.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 27 - 38
Copyright
Copyright © Australian Mathematical Society 2003

References

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