On the closedness and self-adjointness of 3 × 3 operator matrices and application to a non-relativistic three-channel potential scattering model-Reference-Cited by-同舟云学术

On the closedness and self-adjointness of 3 × 3 operator matrices and application to a non-relativistic three-channel potential scattering model

Published:2022-11-09 Issue:3-4 Volume:130 Page:409-426
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Ellouz Hanen¹,Feki Ines¹,Jeribi Aref¹

Affiliation:

1. Département de Mathématiques, Faculté des sciences de Sfax, Université de Sfax, Route de soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisie. E-mails: ellouze.hanen@hotmail.fr, feki.ines@yahoo.fr, Aref.Jeribi@fss.rnu.tn

Abstract

In this paper, we are concerned with a 3 × 3 block operator matrices acting in a Banach or Hilbert space X 1 × X 2 × X 3 given by A 1 B 1 C 1 A 2 B 2 C 2 A 3 B 3 C 3 , where the linear entries are assumed to be unbounded. We study the closure as well as the self-adjointness in the case where the linear operators A 2 and A 3 are A 1 -bounded, B 1 and B 3 are B 2 -bounded and C 1 and C 2 are C 3 -bounded. These results are of importance to a non-relativistic three-channel potential scattering model.

Publisher

IOS Press

Subject

General Mathematics

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