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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ 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:Spectrum of an operator · double sequential band matrix · spectral mapping theorem
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].
Anahtar kelimeler
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Bu Makaleye Atıf Yap
BAŞAR, F., KARAİSA, A. (2015). 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/669509