Spectral properties of non-selfadjoint difference operators

---

Atıf İçin Kopyala

Adivar M., BAYRAM E.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.261, sa.2, ss.461-478, 2001 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 261 Sayı: 2
• Basım Tarihi: 2001
• Doi Numarası: 10.1006/jmaa.2001.7532
• Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.461-478
• Ankara Üniversitesi Adresli: Evet

Özet

Let L denote the operator generated in l(2) (Z) by the difference expression (ly)(n) = a(n-1)y(n-1) + b(n)y(n) + a(n)y(n +1), n is an element of Z ={0, +/- 1, +/- 2,...},where {a(n)}(n is an element of Z) and {b(n)}(n is an element of Z) are complex sequences. In this paper we investigated the spectrum, the spectral singularities, and the properties of the principal vectors corresponding to the spectral singularities of L. We also studied similar problems for the discrete Dirac operator M generated in l(2)(Z,C-2)by the system of difference expression