PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 79(93), pp. 109–114 (2006) 

COMMON SPECTRAL PROPERTIES OF LINEAR OPERATORS $A$ AND $B$ SUCH THAT $ABA=A^2$ AND $BAB=B^2$Christoph SchmoegerMathematisches Institut I, Universität Karlsruhe (TH) Englerstrasse 2, 76128 Karlsruhe, GermanyAbstract: Let $A$ and $B$ be bounded linear operators on a Banach space such that $ABA=A^2$ and $BAB=B^2$. Then $A$ and $B$ have some spectral properties in common. This situation is studied in the present paper. Keywords: operator equation; spectrum Classification (MSC2000): 47A10 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 27 Oct 2006.
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