|
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
|
