THE SPECTRUM OF q-CESARO MATRICES ON c AND ITS VARIOUS SPECTRAL DECOMPOSITION FOR 0 < q < 1

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DURNA N., TÜRKAY M. E.

OPERATORS AND MATRICES, cilt.15, sa.3, ss.795-813, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7153/oam-2021-15-55
  • Dergi Adı: OPERATORS AND MATRICES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.795-813
  • Anahtar Kelimeler: q-Hausdorff matrices, Lower bound problem, q-Cesaro matrices, spectrum, fine spectrum, GENERALIZED DIFFERENCE OPERATOR, SEQUENCE-SPACES L(P), DOUBLE-BAND MATRICES, FINE SPECTRUM, FACTORABLE MATRICES, SUBDIVISIONS, 2ND-ORDER, B(R, S)
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

One of q-analogs of the Cesaro matrix of order one is the triangular matrix with nonzero entries c(nk) = q(n-k)/1+q+...+q(n), 0 <= k <= n, where q is an element of [0,1]. In this article, we will determine the spectrum of this matrix on the space of convergent sequences c. We will also obtain the fine spectral decomposition in the sense of Goldberg and a non-discrete spectral decomposition of the obtained spectrum.