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- W2918255088 abstract "The main objective ofthis paper is to determine the spectrum and the fine spectrum ofthe difference operator $Delta_i^2$ over the sequence spaces $c_0$ and $ell_1$. For any sequence $x=(x_k)$ in $c_0$ or $ell_1$, the generalized difference operator $Delta_i^2$ over $c_0$ or $ell_1$ is defined by $(Delta_i^2(x))_k =sum_{i=0}^2frac{(-1)^i}{i+1}binom{2}{i}x_{k-i}=x_k-x_{k-1}+frac{1}{3}x_{k-2}$, with $x_k = 0$ for $k < 0$. Moreover, we compute the spectrum, the point spectrum, the residual spectrum and the continuous spectrumof the difference operator $Delta_i^2$ over the basic sequencespaces $c_0$ and $ell_1$." @default.
- W2918255088 created "2019-03-11" @default.
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- W2918255088 date "2018-12-09" @default.
- W2918255088 modified "2023-09-24" @default.
- W2918255088 title "On a Spectral Subdivision of the Operator $Delta_i^2$ over the Sequence Spaces $c_0$ and $ell_1$" @default.
- W2918255088 hasPublicationYear "2018" @default.
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