On recent paper, the paranormed space |C_(λ,μ) |(p) which is defined as domain of Cesa ́ro matrix in Maddox’s l(p) has been introduced and studied (Gökçe Sarıgöl, 2019). In this study, some characterizations operators from Absolute series to classical sequence spaces c,c_0,l_∞ are given. Also, it shown that between absolute bounded operators. Finally, certain results obtained a special case.

In this article we introduce some vector valued difference paranormed double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

In this article we introduce the paranormed sequence spaces ( f ,Λ,∆m, p), c0( f ,Λ,∆m, p) and l∞( f ,Λ,∆m, p), associated with the multiplier sequence Λ = (λk), defined by a modulus function f . We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

In this paper, we introduce some new paranormed sequence spaces and study topological properties. Further, determine α, β γ-duals of the finally, establish necessary sufficient conditions for characterization matrix mappings.

In this paper we introduce the difference paranormed sequence spaces c0(M,∆m, p), c(M,∆ n m, p) and `∞(M,∆ n m, p) respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between these spaces as well as prove some inclusion results.

1. Preliminaries, background and notation By ω, we shall denote the space of all real valued sequences. Any vector subspace of ω is called as a sequence space. We shall write l∞, c and c0 for the spaces of all bounded, convergent and null sequences, respectively. Also by bs, cs, l1 and lp, we denote the spaces of all bounded, convergent, absolutely and p-absolutely convergent series, respective...