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Polynomials and limited sets |
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| Authors: | Pablo Galindo |
| Institution: | Departamento de Análisis Matemático, Universidad de Valencia, Doctor Molinar 50, 46100 Burjasot (Valencia), Spain |
| Abstract: | We prove that scalar-valued polynomials are weakly continuous on limited sets and that, as in the case of linear mappings, every  -valued polynomial maps limited sets into relatively compact ones. We also show that a scalar-valued polynomial whose derivative is limited is weakly sequentially continuous. |
| Keywords: | Polynomial limited set weakly conditionally compact set |
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