| Título: | Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces |
| Autores: | Azagra Rueda, Daniel |
| Tipo de documento: | texto impreso |
| Editorial: | Polish Acad Sciencies Inst Mathematics, 1997 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Funciones (Matemáticas) , Tipo = Artículo |
| Resumen: | We prove that for every infinite-dimensional Banach space X with a Frechet differentiable norm, the sphere S-X is diffeomorphic to each closed hyperplane in X. We also prove that every infinite-dimensional Banach space Y having a (not necessarily equivalent) C-p norm (with p is an element of N boolean OR {infinity}) is C-p diffeomorphic to Y \ {0}. |
| En línea: | https://eprints.ucm.es/id/eprint/12280/1/1997diffeormorphisms.pdf |
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