Gallardo Gutiérrez, Eva AntoniaPartington, Jonathan R.2023-06-202023-06-2020050039-3223https://hdl.handle.net/20.500.14352/50610We 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.engjournal articlehttp://www.unizar.es/galdeano/preprints/2004/preprint15.pdfopen access517Supercyclic operatorsSupercyclic vectorsAngle CriterionAnálisis matemático1202 Análisis y Análisis Funcional