科研之友
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摘要
An operator T defined on a Hilbert space 74, satisfying the equation Sigma(m)(k=0)(-1)(k) ((m)(k)) T*T-m-k(m-k) = 0, is called an m-isometry. In this paper, we prove that the orbits of vectors under m-isometries are eventually norm increasing. Also, it is shown that power bounded m-isometries are, in fact, isometries. Moreover, we show that all m-isometries are neither supercyclic nor weakly hypercyclic.
- 出版日期2012
