- Ikonion Journal of Mathematics
- Vol: 4 Issue: 1
- The Gershgorin Type Theorem on Localization of the Eigenvalues of Infinite Matrices and Zeros of Ent...
The Gershgorin Type Theorem on Localization of the Eigenvalues of Infinite Matrices and Zeros of Entire Functions
Authors : Michael Gil'
Pages : 9-16
Doi:10.54286/ikjm.1005765
View : 12 | Download : 4
Publication Date : 2022-09-23
Article Type : Research
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