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Spectra of the generalized difference operator on the sequence spaces bv(0) and h
Journal article   Peer reviewed

Spectra of the generalized difference operator on the sequence spaces bv(0) and h

Saad R. El-Shabrawy and Suad H. Abu-Janah
Linear & multilinear algebra, Vol.66(8), pp.1691-1708
01/01/2018

Abstract

Mathematics Physical Sciences Science & Technology
The spectra of the generalized difference operator B(r,s) in various sequence spaces have been investigated by many authors. Nevertheless, to the best of our knowledge, no contribution has appeared so far to study the problem in the common sequence spaces . In this paper, we fill this gap by analysing the spectrum of the operator B(r,s) on and h. Also, we explore some ideas of how to study the problem for a general form of the operator, namely, the operator Delta(ab).

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