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

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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