ON SOME NEW FK SPACES OBTAINED FROM SUMMABILITY MATRIX

Authors : Mahmut KARAKUŞ, Tunay BİLGİN

Pages : 66-76

Doi:10.33773/jum.679809

View : 14 | Download : 6

Publication Date : 2020-01-31

Article Type : Research Paper

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