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arXiv · 2206.11209

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

Boulbeba Abdelmoumen·Alaeddine Damergi·Yousra Krichene
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Abstract

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.

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Boulbeba Abdelmoumen, Alaeddine Damergi, Yousra Krichene. 2022-06-22. On a Riesz Basis of Diagonally Generalized Subordinate Operator Matrices and Application to a Gribov Operator Matrix in Bargmann Space. https://arxiv.org/abs/2206.11209

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