Ayoub Ghorbel, Maher Mnif, “An index theorem for linear relations and its applications to the study of block relation matrices”, Funktsional. Anal. i Prilozhen., 2023, Volume 57, Issue Suppl. 1,Pages <nobr>S1

Papers published in the English version of the journal

An index theorem for linear relations and its applications to the study of block relation matrices

Ayoub Ghorbel, Maher Mnif

Département de Mathématiques, Université de Sfax, Faculté des Sciences de Sfax, Sfax, Tunisie

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.

Keywords: linear relation matrices, index theorem for linear relations.

MSC: Primary 47A06; Secondary 47A53

Received: 28.12.2022
Revised: 28.12.2022
Accepted: 22.08.2023

Language: English

DOI: 10.1134/S0016266323050015