RT Journal Article
T1 Supercyclic vectors and the Angle Criterion
A1 Gallardo Gutiérrez, Eva A.
A1 Partington, Jonathan R.
AB 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.
PB Polish Acad Sciencies Inst Mathematics
SN 0039-3223
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50610
UL https://hdl.handle.net/20.500.14352/50610
LA eng
NO Plan Nacional I+D
NO Junta de Andalucía
DS Docta Complutense
RD 6 may 2024