Spectra and fine spectra of certain lower triangular double-band matrices as operators
نویسنده
چکیده
*Correspondence: [email protected] Mathematics Department, Faculty of Science, Damietta University, New Damietta, Egypt Abstract In this paper we determine the fine spectrum of the generalized difference operator a,b defined by a lower triangular double-band matrix over the sequence space c0. The class of the operator a,b contains as special cases many operators that have been studied recently in the literature. Illustrative examples showing the advantage of the present results are also given. MSC: Primary 47A10; secondary 47B37
منابع مشابه
On the fine spectrum of generalized upper triangular double-band matrices $Delta^{uv}$ over the sequence spaces $c_o$ and $c$
The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics...
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