(Інститут математики НАН України, 2019) Akhiiezer, O. B.; Dunaievska, О. I.
In the paper, asymptotics for eigenvalues of Hermitian, compact operators, generated by infinite, banded matrices is obtained in terms of the asymptotics of their matrix entries. Analogues for banded matrices of Gershgorin’s disks theory are discussed.