伪广义可逆算子的摄动

IF 0.5 Q3 MATHEMATICS ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-03-06 DOI:10.1007/s44146-023-00068-9

Asma Lahmar, Haïkel Skhiri

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引用次数: 0

摘要

本文是前人研究成果Lahmar (Filomat 36:2551-2572, 2022)， Lahmar (Filomat 36: 4575-4590, 2022)， Lahmar (Preprint)的延续，其中定义了一类新的算子，称为伪广义可逆算子，它既包括广义可逆算子集，也包括Drazin可逆算子集。本文主要讨论伪广义可逆算子的微扰问题和DPG可逆性的特殊情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the perturbation of pseudo-generalized invertible operators

This paper is a continuation of previous works Lahmar (Filomat 36:2551-2572, 2022), Lahmar (Filomat 36: 4575–4590, 2022), Lahmar (Preprint) where we defined a new class of operators called pseudo-generalized invertible operators that includes both the set of generalized invertible operators and the set of Drazin invertible operators. Here we focus essentially on the perturbation problem of pseudo-generalized invertible operators and the particular case of DPG invertibility.

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