On extended eigenvalues and extended eigenvectors of some operator classes
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.134, sa.8, ss.2383-2392, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 134 Sayı: 8
- Basım Tarihi: 2006
- Doi Numarası: 10.1090/s0002-9939-06-08258-x
- Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2383-2392
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
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.