On the spectrum and fine spectrum of the compact Rhaly operators
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.34, sa.10, ss.1443-1452, 2003 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 10
- Basım Tarihi: 2003
- Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1443-1452
- Anahtar Kelimeler: Rhaly operator, Cesaro operator, spectrum and point spectrum, MATRICES
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
In 1989, Rhaly determined the spectrum of Rhaly operator R-a regarded as an operator on the Hilbert space I-2 normed by parallel to x parallel to = (Sigma(n) \ x(n) \(2))(1/2). It is the purpose of this paper to determine the spectrum of Rhaly operator R-a as an operator on the spaces bupsilon(0), and b(upsilon).