On Some New Fk Spaces Obtained From Summability Matrix

Abstract

In this study, we give some new F K-spaces by means of an innite matrix as an operator and dene some new β-and γ-type duality of sequence spaces [4, 6]. We also introduce some new sections and investigate some properties like AB-, F AK-, SAK-and AKin an F K-space. By this way, we obtain some new distinguished subspaces of an F K-space [7]. Among other results, we prove that the sum of nite numbers of F K-spaces and the intersection of a sequence of F K-spaces which have these new properties with corresponding paranorms have also these new properties. The reader can refer to [2] and [19] for the main results and related topics in F K-space theory.