Perron-frobenius-type theorems for tridiagonal operators |
| |
Authors: | Evangelos K Ifantis |
| |
Institution: | Department of Mathematics , University of Patras , Greece |
| |
Abstract: | It is proved that in a large class of bounded tridiagonal operators (infinite Jacobi matrices), not necessarily positive or non-negative, positive eigenvalues exist and the eigenvector which corresponds to the greatest of them can be taken strictly positive. It is the unique positive eigenvector up to a constant multiple. |
| |
Keywords: | Perron-Frobenious-type theorems tridiagonal operators |
|
|