On linear operators having supercyclic vectors

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

Gerd Herzog Studia Mathematica 103 (1992), 295-298 DOI: 10.4064/sm-103-3-295-298

We show that for a real separable Banach space X there are operators in B(X) having supercyclic vectors if and only if dim X ≤ 2 or dim X = ∞.