Common operator properties of the linear operators $RS$ and $SR$
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- by Bruce A. Barnes PDF
- Proc. Amer. Math. Soc. 126 (1998), 1055-1061 Request permission
Abstract:
Let $S$ and $R$ be bounded linear operators defined on Banach spaces, $S\colon X\to Y$, $R\colon Y\to X$. 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.References
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Additional Information
- Bruce A. Barnes
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- Email: barnes@math.uoregon.edu
- Received by editor(s): February 22, 1996
- Received by editor(s) in revised form: September 23, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1055-1061
- MSC (1991): Primary 47A10, 47A60, 47B30
- DOI: https://doi.org/10.1090/S0002-9939-98-04218-X
- MathSciNet review: 1443814