ON SOME NEW FK SPACES OBTAINED FROM SUMMABILITY MATRIX

Abstract

In this study, we give some new FK-spaces by means of an infinite matrix as an operator and define some new beta and gama type duality of sequence spaces [3, 4]. We also introduce some new sections and investigate some properties like AB-, FAK-, SAK- and AK- in an FK-space. By this way, we obtain some new distinguished subspaces of an FK- space [5]. Among other results, we prove that the sum of infinite numbers of FK-spaces and the intersection of a sequence of FK-spaces which have these new properties with corresponding paranorms have also these new properties. The reader can refer to [1], [2] and [11] for the main results and related topics in FK-space theory.

Keywords

• FK-spaces,matrix methods,beta-gama-f-duality

References

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