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Keywords:
infinite linear system; operator of first order difference; Banach algebra with identity; BK space
infinite linear system; operator of first order difference; Banach algebra with identity; BK space
Summary:
In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index $p>0$ of $r$-th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.
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