Affiliation:
1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia
Abstract
A complex number ? is an extended eigenvalue of an operator A if there is a
nonzero operator B such that = ?BA. In this case, B is said to be an
eigenoperator. 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.
Publisher
National Library of Serbia
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