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Domain of Generalized Difference Matrix B(r, s) on Some Maddox's Spaces
(Chiang Mai Univ, Fac Science, 2013) Aydin, Cafer; Altay, Bilal
In the present paper, the sequence spaces (l) over cap (infinity)(p), (c(0)) over cap (p) and (c) over cap (p) of non-absolute type have been introduced and proved that the spaces (l) over cap (infinity)(p), (c(0)) over cap (p) and (c) over cap (p) are linearly isomorphic to the spaces l(infinity)(p), c(0)(p) and c(p), respectively. The beta- and gamma-duals of the spaces (l) over cap (infinity)(p), (c(0)) over cap (p) and (c) over cap (p) have been computed and their basis have been constructed. Finally, some matrix mappings from (l) over cap (infinity)(p), (c(0)) over cap (p) and (c) over cap (p) to the some sequence spaces of Maddox have been characterized and relationship between the modular sigma(p) and the Luxemburg norm on the sequence space (l) over cap (infinity)(p) has been discussed.