Geodesic
On a Riesz basis of diagonally generalized subordinate operator matrices and application to a Gribov operator matrix in Bargmann space
Filomat, Tome 37 (2023) no. 14, p. 4481

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DOI

In this paper, we study the change of spectrum and the existence of Riesz bases of specific classes of n × n unbounded operator matrices, called: diagonally and off-diagonally generalized subordinate block operator matrices. An application to a n × 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.
DOI : 10.2298/FIL2314481A
Classification : 47A55, 47B06, 30H20
Keywords: Perturbation theory, Riesz basis, Bargmann space, Gribov operator 
Boulbeba Abdelmoumen; Alaeddine Damergi; Yousra Krichene. On a Riesz basis of diagonally generalized subordinate operator matrices and application to a Gribov operator matrix in Bargmann space. Filomat, Tome 37 (2023) no. 14, p. 4481 . doi: 10.2298/FIL2314481A
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     title = {On a {Riesz} basis of diagonally generalized subordinate operator matrices and application to a {Gribov} operator matrix in {Bargmann} space},
     journal = {Filomat},
     pages = {4481 },
     year = {2023},
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     number = {14},
     doi = {10.2298/FIL2314481A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314481A/}
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