on the spectrum of 2-nd order generalized difference operator $\delta^2$ over the sequence space $c_0$
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ID: 141447
2013
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Abstract
The main purpose of this article is to determine the spectrum and the fine spectrum of second order difference operator $\Delta^2$ over the sequence space $c_0$. For any sequence $(x_k)_0^\infty$ in $c_0$, the generalized second order difference operator $\Delta^2$ over $c_0$ is defined by $\Delta^2(x_k)= \sum_{i=0}^2(-1)^i\binom{2}{i}x_{k-i}=x_k-2x_{k-1}+x_{k-2}$, with $ x_{n} = 0$ for $n<0$.Throughout we use the convention that a term with a negative subscript is equal to zero.
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| Reference Key |
dutta2013boletimon
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|---|---|
| Authors | ;S. Dutta;Pinakadhar Baliarsingh |
| Journal | urban geography |
| Year | 2013 |
| DOI |
10.5269/bspm.v31i2.17541
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| URL | |
| Keywords | Keywords not found |
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