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Ranges of operators and derivatives |
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| Authors: | A.J. Guirao,P. Há jek,V. Montesinos |
| Affiliation: | a Departamento de Matemática Aplicada, Escuela Técnica Superior de Arquitectura, Universidad Politécnica de Valencia, Camino de Vera s/n, 46020 Valencia, Spain b Mathematical Institute, AV ?R, ?itná 25, 115 67 Praha 1, Czech Republic c Departamento de Matemática Aplicada, Escuela Técnica Superior de Telecomunicaciones, Universidad Politécnica de Valencia, Camino de Vera s/n, 46020 Valencia, Spain |
| Abstract: | We show a unified method of proving the existence of C1-Fréchet smooth and Lipschitz mappings which are surjective or whose range of the derivative contains the whole dual unit ball. As an application, under Martin's Maximum axiom, we obtain a complete result for those spaces with density character ω1. |
| Keywords: | Fré chet smoothness Surjective mappings |
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