PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.134, no.8, pp.2383-2392, 2006 (Peer-Reviewed Journal)
Article / Article
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Science Citation Index Expanded, Scopus
We give a complete description of the set of extended eigenvectors of the Volterra integration operator V, Vf(x) = integral(x)(0) f(t)dt, on L-2 [0,1], 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.