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On q−Cesàro Operators: Boundedness, Compactness and Spectra
Numerical Functional Analysis and Optimization ( IF 1.4 ) Pub Date : 2021-06-28 , DOI: 10.1080/01630563.2021.1933027
Saad R. El-Shabrawy 1
Affiliation  

Abstract

The main purpose of the paper is to investigate the spectra of the qCesàro operator Cq, where 0<q<, on Banach spaces. For 0<q<1, the method of the proof is to exhibit a relationship between the operator Cq and a generalized difference operator Δab. Furthermore, for 1<q<, it is shown that the operator Cq is compact on certain Banach spaces. In this case, the spectra of Cq are completely determined.



中文翻译:

关于 q−Cesàro 算子:有界性、紧凑性和谱

摘要

本文的主要目的是研究光谱 q-Cesàro 算子C q,其中0<q<,在巴拿赫空间上。为了0<q<1,证明的方法是展示算子C q和广义差分算子Δ ab之间的关系。此外,对于1<q<,结果表明,算子C q在某些Banach 空间上是紧的。在这种情况下,C q的光谱完全确定。

更新日期:2021-07-28
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