Geodesic
Calculations in new sequence spaces
Archivum mathematicum, Tome 43 (2007) no. 1, pp. 1-18 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 40H05, 46A45
Keywords: infinite linear system; operator of first order difference; Banach algebra with identity; BK space 
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de Malafosse, Bruno. Calculations in new sequence spaces. Archivum mathematicum, Tome 43 (2007) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/ARM_2007_43_1_a0/

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