Geodesic
Calculations in new sequence spaces
Archivum mathematicum, Tome 43 (2007) no. 1, pp. 1-18

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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.
Classification : 40H05, 46A45
Keywords: infinite linear system; operator of first order difference; Banach algebra with identity; BK space 
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     author = {de Malafosse, Bruno},
     title = {Calculations in new sequence spaces},
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     pages = {1--18},
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     zbl = {1164.40013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007__43_1_a0/}
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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/