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Common operator properties of the linear operators
Authors:Bruce A. Barnes
Affiliation:Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Abstract:Let $S$ and $R$ be bounded linear operators defined on Banach spaces, $Scolon Xto Y$, $Rcolon Yto X$. When $lambda neq 0$, then the operators $lambda -SR$ and $lambda -RS$ have many basic operator properties in common. This situation is studied in this paper.

Keywords:Spectrum   closed range   Fredholm operator   poles of the resolvent
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