Interpolation of Schur multiplier spaces |
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| Authors: | Quanhua Xu |
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| Institution: | (1) Université de Franche-Comté, Equipe de Mathématiques, UFR des Sciences et Techniques, 16, Route de Gray, 25030 Besan?on Cedex; France (qx@math.univ-fcomte.fr), FR |
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| Abstract: | Let denote the space of all Schur mulptiliers on the Schatten class . It is proved that there is a linear map which is a contraction on both and but which is not bounded on for all . Consequently, for any , is not an interpolation space between and .
Received April 3, 1998 / in final form September 22, 1999 / Published online July 20, 2000 |
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