Certain Sequence Spaces over the Non-Newtonian Complex Field

Abstract EN

It is known from functional analysis that in classical calculus, the sets ω, ℓ∞, c, c0 and ℓp of all bounded, convergent, null and p-absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced from their norm, where 0

In this study, our main goal is to construct the spaces ω*, ℓ∞*, c*, c0* and ℓp* over the non-Newtonian complex field ℂ* and to obtain the corresponding results for these spaces, where 0¨<¨p<¨∞.