|
Título:
|
Supercyclic vectors and the Angle Criterion
|
|
Autores:
|
Gallardo Gutiérrez, Eva A. ;
Partington, Jonathan R.
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Polish Acad Sciencies Inst Mathematics, 2005
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Análisis matemático
,
Tipo = Artículo
|
|
Resumen:
|
We show that the Angle Criterion for testing supercyclic vectors depends in an essential way on the geometrical properties of the underlying space. In particular, we exhibit non-supercyclic vectors for the backward shift acting on c(0) that still satisfy such a criterion. Nevertheless, if B is a locally uniformly convex Banach space, the Angle Criterion yields an equivalent condition for a vector to be supercyclic. Furthermore, we prove that local uniform convexity cannot be weakened to strict convexity.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/21105/1/Gallardo17libre.pdf
|
