The Gershgorin Type Theorem on Localization of the Eigenvalues of Infinite Matrices and Zeros of Entire Functions

Year 2022, , 9 - 16, 23.09.2022

Michael Gil'

https://doi.org/10.54286/ikjm.1005765

Abstract

The classical Gershgorin theorem on localization of the eigenvalues of finite matrices is extended to infinite Hille-Tamarkin matrices. Applications to finite order entire functions
are also discussed.

Keywords

infinite matrix, compact operator, localization of spectrum, zeros of entire functions

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