Dergiler / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 6

On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $ell_p$, (1 < p < ∞)

Sayfa
1315–1332
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

These results are more general than the spectrum of the generalized difference operator B(r, s) over $ell_p$ of Bilgiç and Furkan [Nonlinear Anal. 68(3)(2008), 499–506].

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg’s classification of the operator $B(tilde{r},tilde{s})$ defined by a double sequential band matrix over the sequence space $ell_p$ where 1 < p < ∞.
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Temel Bulgular & Veri:The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg’s classification of the operator $B(tilde{r},tilde{s})$ defined by a double sequential band matrix over the sequence space $ell_p$ where 1 < p < ∞.
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Sonuç & Katkı:These results are more general than the spectrum of the generalized difference operator B(r, s) over $ell_p$ of Bilgiç and Furkan [Nonlinear Anal. 68(3)(2008), 499–506].
🔬Tür:Araştırma Makalesi
📍Kapsam:2008 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg’s classification of the operator $B(tilde{r},tilde{s})$ defined by a double sequential band matrix over the sequence space $ell_p$ where 1 < p < ∞. These results are more general than the spectrum of the generalized difference operator B(r, s) over $ell_p$ of Bilgiç and Furkan [Nonlinear Anal. 68(3)(2008), 499–506].

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Bu Makaleye Atıf Yap

Karaisa, A., Başar, F. (2022). On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $ell_p$, (1 < p < ∞). Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 6, 1315–1332. https://ajindex.com/articles/530200

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Kaynakça (15)

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