Spectra and fine spectra of the upper triangular band matrix U(a; 0; b) on the Hahn sequence space

DURNA N.

MATHEMATICAL COMMUNICATIONS, cilt.25, sa.1, ss.49-66, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.49-66
  • Anahtar Kelimeler: upper triangular band matrix, spectrum, fine spectrum, approximate point spectrum, GENERALIZED DIFFERENCE OPERATOR, SYSTEMS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The aim of this paper is to obtain the spectra and fine spectra of the matrix U(a; 0; b) on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix U(a(0), a(1), ..., a(n-1); 0: b(0), b(1), ..., b(n-1)), where the non-zero diagonals are the entries of an oscillatory sequence.