广义核心-EP 逆的扰动公式

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-06-10 DOI:10.1007/s43034-024-00371-8

Dijana Mosić

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引用次数: 0

摘要

本文旨在提出 GCEP 逆、gMP 逆及其对偶的扰动公式和扰动边界。我们还研究了 GCEP 逆、gMP 逆及其对偶的吸收定律的等效条件，并利用这些结果得到了扰动界值。应用 GCEP 和 *GCEP 逆，我们引入了两个新的二元关系，并证明它们是相应集合上的偏序。

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Perturbation formulae for the generalized core–EP inverse

The aim of this paper is to present perturbation formulae and perturbation bounds for the GCEP inverse, gMP inverse and their duals. We also study equivalent conditions for absorption laws of the GCEP inverse, the gMP inverse and their duals and use these results to get perturbation bounds. Applying the GCEP and *GCEP inverses, we introduce two new binary relations and show that they are partial orders on corresponding set.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.