SPECTRA AND FINE SPECTRA OF THE GENERALIZED UPPER DIFFERENCE OPERATOR WITH TRIPLE REPETITION Delta(ab)(3) ON THE HAHN SEQUENCE SPACE

DURNA N., Mursaleen M., Kilic R.

MATHEMATICA SLOVACA, cilt.72, sa.3, ss.719-736, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1515/ms-2022-0049
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.719-736
  • Anahtar Kelimeler: upper triangular band matrix, spectrum, fine spectrum, approximate point spectrum, DOUBLE-BAND MATRICES, L(P), U(A, B)
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The goal of this paper is to obtain the spectra and fine spectra of the matrix Delta(ab)(3) 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 Delta(ab)(3) where the non-zero diagonals are the entries of a n-ary repetition sequence. (C) 2022 Mathematical Institute Slovak Academy of Sciences