论文标题

在离散空间上的M-ISMOMITION组成操作员

M-isometric Composition Operators On Discrete Spaces

论文作者

Buchała, Michał

论文摘要

在本文中,我们在离散空间上调查了构图操作员。我们建立了此类操作员的基础图的分类。对于一类这样的图形,即具有一个循环的图形,我们获得了M-静脉的表征。该论文还包含了一个循环的图形上的组成算子的凯奇双重亚正态问题的解决方案。

In this paper we investigate composition operators on discrete spaces. We establish the classification of underlying graphs of such operators. For one class of such graphs, namely graphs with one cycle, we obtain a characterization of m-isometries. The paper also contains the solution to the Cauchy dual subnormality problem for composition operators on graphs with one cycle.

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