Some generalized difference sequence spaces of invariant means defined by Orlicz functions
نویسندگان
چکیده
Let l∞ and c denote the Banach spaces of bounded and convergent sequences x = (xk), with xk ∈R or C, normed by ‖x‖ = supk |xk|, respectively. A paranorm on a linear topological space X is a function g : X →R which satisfies the following axioms for any x, y,x0 ∈ X and λ,λ0 ∈ C: (i) g(θ) = 0, where θ = (0,0,0, . . .), the zero sequence, (ii) g(x) = g(−x), (iii) g(x+ y) ≤ g(x) + g(y) (subadditivity), (iv) the scalar multiplication is continuous, that is,
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2005 شماره
صفحات -
تاریخ انتشار 2005