On the spectrum and fine spectrum of the compact Rhaly operators

Yildirim M.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.34, sa.10, ss.1443-1452, 2003 (SCI-Expanded) identifier identifier

  • 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).