An Index Theorem for Linear Relations and Its Applications to the Study of Block Relation Matrices

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-04-30 DOI:10.1134/S0016266323050015

Ayoub Ghorbel, Maher Mnif

引用次数: 0

Abstract

In this paper, we aim to prove an index theorem for linear relations and apply it to study the invertibility and the essential invertibility of certain upper triangular block relation matrices.

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线性关系索引定理及其在块关系矩阵研究中的应用

摘要本文旨在证明线性关系的索引定理，并将其用于研究某些上三角块关系矩阵的可逆性和本质可逆性。

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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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.