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Quasi-multipliers of operator spaces |
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| Authors: | Masayoshi Kaneda Vern I. Paulsen |
| Affiliation: | a Department of Mathematics, 103 Multipurpose Science and Technology Building, University of California, Irvine, Irvine, CA 92697-3875 USA b Department of Mathematics, University of Houston, 4800 Calhoun Road, Houston, TX 77204-3008 USA |
| Abstract: | We use the injective envelope to study quasi-multipliers of operator spaces. We prove that all representable operator algebra products that an operator space can be endowed with are induced by quasi-multipliers. We obtain generalizations of the Banach-Stone theorem. |
| Keywords: | primary 46L05 secondary 46A22 46H25 46M10 47A20 |
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