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- W2238142701 abstract "In this paper we consider the generalized difference operator v on the sequence spaces l 1 and c 0 . The operator v is represented by a lower triangular double band matrix whose nonzero entries are the elements of a sequence ( v k ) with certain conditions. We mainly review several recent results concerning the fine spectrum of the operator v over the equence spaces l 1 and c 0 . Also, we provide some new results. Following that we give some illustrative examples which motivate the main results. Finally, we give notes on the fine spectrum of the operator v . These notes attempt to present some ideas about changing the conditions on the sequence ( v k ) in the fine spectrum of the operator v . The new results of this paper generalize and improve some recent results that appeared recently in the literature." @default.
- W2238142701 created "2016-06-24" @default.
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- W2238142701 date "2012-02-13" @default.
- W2238142701 modified "2023-09-23" @default.
- W2238142701 title "Some Spectral Properties of the Generalized Difference Operator (Delta)v" @default.
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