On a Riesz Basis of Diagonally Generalized Subordinate Operator Matrices and Application to a Gribov Operator Matrix in Bargmann Space
Functional Analysis
2022-06-23 v1
Abstract
In this paper, we study the change of spectrum and the existence of Riesz bases of specific classes of unbounded operator matrices, called: diagonally and off-diagonally generalized subordinate block operator matrices. An application to a 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.
Cite
@article{arxiv.2206.11209,
title = {On a Riesz Basis of Diagonally Generalized Subordinate Operator Matrices and Application to a Gribov Operator Matrix in Bargmann Space},
author = {Boulbeba Abdelmoumen and Alaeddine Damergi and Yousra Krichene},
journal= {arXiv preprint arXiv:2206.11209},
year = {2022}
}