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On the Norm of Elementary Operators
Authors:Blanco  A; Boumazgour  M; Ransford  T J
Institution:Département de Mathématiques et de Statistique, Université Laval Québec, Canada G1K 7P4
Abstract:The norm problem is considered for elementary operators of theform Ua,b: A->A,x↦ axb+bxa (a,bisinA) in the special case when A isa subalgebra of the algebra of bounded operators on a Banachspace. In particular, the lower estimate || Formula is established when the Banach space is a Hilbertspace and A is the algebra of all bounded linear operators.
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