On the spectrum and fine spectrum of the compact Rhaly operators


Yildirim M.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.34, ss.1443-1452, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 10
  • Basım Tarihi: 2003
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.1443-1452

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).