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

Abstract

 In this paper, we study the change of spectrum 

and the existence of
Riesz bases of specic classes of nn unbounded operator matrices,
called: diagonally and o-diagonally generalized subordinate block
operator matrices. An application to a nn 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.