Subdivision of Spectra for Some Lower Triangular Double-Band Matrices as Operators on c(0)


Durna N.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.70, ss.1052-1062, 2018 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 70 Konu: 7
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11253-018-1551-7
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.1052-1062

Özet

The generalized difference operator.a, b was defined by El- Shabrawy:.a, bx =.a, b ( xn) = ( anxn + bn- 1xn- 1) 1n = 0 with x- 1 = b- 1 = 0, where ( ak) and ( bk) are convergent sequences of nonzero real numbers satisfying certain conditions. We completely determine the approximate point spectrum, the defect spectrum, and the compression spectrum of the operator.a, b in a sequence space c0.