Subdivisions of the spectra for generalized difference operator ⊄ν on the sequence space ℓ1

Başar F., DURNA N., YILDIRIM M.

International Conference on Mathematical Science, ICMS, Bolu, Türkiye, 23 - 27 Kasım 2010, cilt.1309, ss.254-260 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1309
  • Doi Numarası: 10.1063/1.3525122
  • Basıldığı Şehir: Bolu
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.254-260
  • Anahtar Kelimeler: approximate point spectrum, compression spectrum and generalized difference operator ⊄v, defect spectrum, fine spectrum, Spectrum
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The fine spectrum of the generalized difference operator ⊄ν defined by a strictly decreasing sequence ν of positive reals on the space ⊄1 has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 7-19]. Following them, we determine the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator of generalized difference operator ⊄ν on ⊄1. © 2010 American Institute of Physics.