Abstract:
In this study, it is specified the sequence space l (F (r, s), p), (where p = (p(k)) is any bounded sequence of positive real numbers) and researched some algebraic and topological features of this space. Further, alpha-, beta-, gamma- duals and its Schauder Basis are given. The classes of matrix transformations from the space l (F (r, s), p) to the spaces l(infinity), c, and c(0) are qualified. Additionally, acquiring qualifications of some other matrix transformations from the space l (F (r, s), p) to the Euler, Riesz, difference, etc., sequence spaces is the other result of the paper.
