Compact Schur multipliers
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- by Milan Hladnik PDF
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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.References
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Additional Information
- Milan Hladnik
- Affiliation: Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana 1000, Slovenia
- Email: Milan.Hladnik@fmf.uni-lj.si
- Received by editor(s): October 7, 1998
- Published electronically: February 28, 2000
- Additional Notes: This work was supported in part by the Ministry of Science and Technology of Slovenia.
The author expresses his gratitude to Professor Bojan Magajna for a discussion concerning the Haagerup tensor product of $C^*$-algebras and for a careful reading of the first version of this paper. - Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2585-2591
- MSC (2000): Primary 47B07, 47B49; Secondary 46M05, 47L20
- DOI: https://doi.org/10.1090/S0002-9939-00-05708-7
- MathSciNet review: 1766604