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Biseparating maps between operator algebras |
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| Authors: | Jesú s Araujo,Krzysztof Jarosz |
| Affiliation: | a Departamento de Matemáticas, Estad?́stica y Computación, Universidad de Cantabria, Facultad de Ciencias, Avda. de los Castros, s. n. E-39071 Santander, Spain b Department of Mathematics and Statistics, Southern Illinois University, Edwardsville, IL 62026, USA |
| Abstract: | We prove that a biseparating map between spaces B(E), and some other Banach algebras, is automatically continuous and a multiple of an algebra isomorphism. |
| Keywords: | Automatic continuity Biseparating maps Preserver problem |
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