On extended eigenvalues and extended eigenvectors of some operator classes
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.134, no.8, pp.2383-2392, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 134 Issue: 8
- Publication Date: 2006
- Doi Number: 10.1090/s0002-9939-06-08258-x
- Journal Name: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2383-2392
- Open Archive Collection: AVESIS Open Access Collection
- Süleyman Demirel University Affiliated: No
Abstract
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.