Extended eigenvalues of a closed linear operator

Aymen ammar ammar


This research paper is devoted to the investigation
of some results of extended eigenvalues for a closed linear operator on a
complex Banach space. The obtained results are explored in terms two cases
bounded, and closed eigenoperators. In addition, the notion of extended
eigenvalues for a 2 × 2 upper triangular operator matrix is introduced and
some of its properties are displayed.


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