On Power Finite Rank Operators

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英文篇名：On Power Finite Rank Operators 作者：Qingping ; ZENG ; Zhenying ; WU 英文作者：Qingping ZENG;Zhenying WU;College of Computer and Information Sciences, Fujian Agriculture and Forestry University;College of Mathematics and Informatics, Fujian Normal University; 英文关键词：power finite rank operator;;Drazin invertible;;eventual topological uniform descent;;Riesz operator 中文刊名：SXYJ 英文刊名：数学研究及应用(英文版) 机构：College of Computer and Information Sciences, Fujian Agriculture and Forestry University;College of Mathematics and Informatics, Fujian Normal University; 出版日期：2019-03-25 10:43 出版单位：Journal of Mathematical Research with Applications 年：2019 期：v.39;No.177 基金：Supported by the Talents Cultivation Program for Outstanding Youth Scientists in Fujian Universities(Grant Nos.Min Education [2015] 54 and [2016] 23);; the National Natural Science Foundation of China(Grant No.11401097);; the Natural Science Foundation of Fujian Province(Grant No.2016J05001) 语种：英文; 页：SXYJ201904005 页数：5 CN：04 ISSN：21-1579/O1 分类号：52-56

摘要

An operator F ∈ B(X) is called power finite rank if F~n is of finite rank for some n ∈ N.In this note, we provide several interesting characterizations of power finite rank operators. In particular, we show that the class of power finite rank operators is the intersection of the class of Riesz operators and the class of operators with eventual topological uniform descent.
        An operator F ∈ B(X) is called power finite rank if F~n is of finite rank for some n ∈ N.In this note, we provide several interesting characterizations of power finite rank operators. In particular, we show that the class of power finite rank operators is the intersection of the class of Riesz operators and the class of operators with eventual topological uniform descent.

引文

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