Computing the norms of elementary operators
Citation:
Richard M. Timoney 'Computing the norms of elementary operators' in Illinois Journal of Mathematics, 47, 2003, pp 1207 - 1226Download Item:
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Abstract:
We provide a direct proof that the Haagerup estimate on
the completely bounded norm of elementary operators is best possible
in the case of B(H) via a generalisation of a theorem of Stamp
i. We
show that for an elementary operator T of length `, the completely
bounded norm is equal to the k-norm for k = `. A C*-algebra A has
the property that the completely bounded norm of every elementary
operator is the k-norm, if and only if A is either k-subhomogeneous or
a k-subhomogeneous extension of an antiliminal C*-algebra.
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Author: TIMONEY, RICHARD
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University of Illinois PressType of material:
Journal ArticleSeries/Report no:
Illinois Journal of Mathematics47
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