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Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators
Constructive Approximation ( IF 2.7 ) Pub Date : 2019-02-08 , DOI: 10.1007/s00365-019-09455-4
L. Bernal-González , M. C. Calderón-Moreno , A. Jung , J. A. Prado-Bassas

In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic.

中文翻译:

组合算子序列的频繁超循环函数的子空间

在本文中,提供了在复杂域中的全纯函数空间上定义的组合算子序列经常是超循环的标准。这样的标准改进了一些已知的特殊情况,此外,提供密集向量子空间以及大的封闭空间也是有效的,除了零之外,完全由经常是超循环的函数组成。
更新日期:2019-02-08
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