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