On extended eigenvalues and extended eigenvectors of some operator classes
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- by M. T. Karaev PDF
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Abstract:
We give a complete description of the set of extended eigenvectors of the Volterra integration operator $V,$ $Vf(x)=\underset {0}{\overset {x}{\int }} f(t)dt$, on $L^{2}\left [ 0,1\right ]$, which strengthens the result of a paper by Biswas, Lambert, and Petrovic (2002). We also introduce the concept of a well splitting operator and study its extended eigenvalues and extended eigenvectors.References
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Additional Information
- M. T. Karaev
- Affiliation: Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey
- Email: garayev@fef.sdu.edu.tr
- Received by editor(s): March 3, 2005
- Received by editor(s) in revised form: March 14, 2005
- Published electronically: March 21, 2006
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 2383-2392
- MSC (2000): Primary 47A15
- DOI: https://doi.org/10.1090/S0002-9939-06-08258-X
- MathSciNet review: 2213712