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Norms and CB norms of Jordan elementary operators

Name: Norms and CB norms of Jordan elementary operators
Creator: TIMONEY, RICHARD
Keywords: completely bounded, Mathematics(all), Pure & Applied Mathematics, Mathematics - Operator Algebras, numerical range, 47B47, 46L07, 47L25, Norms (inequalities, more than one norm, etc.) of linear operators, elementary operators, 01 natural sciences, 510

Norms and CB norms of Jordan elementary operators.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2003Embargo end date: 01 Jan 2003 Ireland Publisher:Elsevier BVJournal:Bulletin des Sciences Mathématiques, volume 127, pages 597-609 (issn: 0007-4497,

Authors: TIMONEY, RICHARD;

doi: 10.1016/s0007-4497(03)00046-0 , 10.48550/arxiv.math/0308070

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

handle: 2262/32106

Norms and CB norms of Jordan elementary operators

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Abstract

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

Country

Ireland

Related Organizations

Trinity College Dublin
Ireland

Keywords

completely bounded, Mathematics(all), Pure & Applied Mathematics, Mathematics - Operator Algebras, numerical range, 47B47, 46L07, 47L25, Norms (inequalities, more than one norm, etc.) of linear operators, elementary operators, 510, 004, Hilbert–Schmidt norm, Numerical range, numerical radius, FOS: Mathematics, Commutators, derivations, elementary operators, etc., Hilbert--Schmidt norm, Numerical range, Completely bounded, Operator Algebras (math.OA)

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