论文标题
算子的等距渐近线形成异构体
On isometric asymptotes of operators quasisimilar to isometries
论文作者
论文摘要
1989年引入了等距和统一渐近线的概念，并于2016--2019将Kérchy推广。特别是表明存在没有单一渐近线的操作员。在本文中，构建了与等法形成且没有等距渐近线的准二拟合。还构建了一个收缩，这与无限多样性的单侧移位很准二，其等渐近线包含一个（非零）单一的汇总。
The notion of isometric and unitary asymptotes was introduced for power bounded operators in 1989 and was generalized in 2016--2019 by Kérchy. In particular, it was shown that there exist operators without unitary asymptote. In this paper operators are constructed which are quasisimilar to isometries and do not have isometric asymptotes. Also a contraction is constructed which is quasisimilar to the unilateral shift of infinite multiplicity and whose isometric asymptote contains a (non-zero) unitary summand.
