On a Riesz Basis of Diagonally Generalized Subordinate Operator Matrices and Application to a Gribov Operator Matrix in Bargmann Space

In this paper, we study the change of spectrum and the existence of Riesz bases of specific classes of \(n\times n\) unbounded operator matrices, called: diagonally and off-diagonally generalized subordinate block operator matrices. An application to a \(n\times n\) Gribov operator matrix acting on...

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Bibliographic Details
Published in:arXiv.org 2022-06
Main Authors: Abdelmoumen, Boulbeba, Damergi, Alaeddine, Krichene, Yousra
Format: Article
Language:English
Subjects:
Operators (mathematics)
Pomerons
Online Access:Get full text
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Summary:In this paper, we study the change of spectrum and the existence of Riesz bases of specific classes of \(n\times n\) unbounded operator matrices, called: diagonally and off-diagonally generalized subordinate block operator matrices. An application to a \(n\times n\) Gribov operator matrix acting on a sum of Bargmann spaces, illustrates the abstract results. As example, we consider a particular Gribov operator matrix by taking special values of the real parameters of Pomeron.
ISSN:2331-8422