نوع مقاله : اصیل
نویسندگان
دانشگاه یاسوج، دانشکده علوم، گروه ریاضی، یاسوج، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
As an alternative to the proof given by Ansari and Bourdon [1], we present here a simple and self-contained proof that isometries are not supercyclic. As compared to their proof, which is based on a result that suggests that isometries always have nontrivial invariant subspaces [6], our proof is independent of this result and provides a more direct proof that isometries do not have supercyclic vectors.
کلیدواژهها [English]