Supercyclic Vectors and the Angle Criterion
نویسندگان
چکیده
It is shown 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 c0 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, it is proved that our hypotheses on B cannot be weakened to the case of a strictly convex norm on B.
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