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Compact Schur multipliers

Authors:	Milan Hladnik

Institution:	Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana 1000, Slovenia

Abstract:	Compact Schur multipliers on the algebra $B(\mathcal{H})$ of all bounded linear operators on an infinite-dimensional separable complex Hilbert space $\mathcal{H}$ will be identified as the elements of the Haagerup tensor product $c_0 \otimes^h c_0$ (the completion of $c_0 \otimes c_0$ in the Haagerup norm). Other ideals of Schur multipliers related to compact operators will also be characterized.

Keywords:	Schur multipliers compact and weakly compact multipliers Haagerup tensor products

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