A Note on the Matrix Transformations of Lr and L, Defined in an Incomplete Space

Authors : Ö ÇAKAR

Pages : 0-0

Doi:10.1501/Commua1_0000000273

View : 11 | Download : 9

Publication Date : 1977-01-01

Article Type : Research Paper

Abstract :The purpose of this note is to characterize some of the matrix transformations bet- ween the seguence spaces L^. and Lg defined in an incomplete seminormed coınplex iinear space X with the seminorm p and the zero O, where = {insert ignore into journalissuearticles values(xj^); : S [pinsert ignore into journalissuearticles values(Xi);]`` ` k=ı L, co , 1 co and Xjj € Xj. and L, 00 = { insert ignore into journalissuearticles values(Xk);j s [p insert ignore into journalissuearticles values(Xt);J ` k=ı ıs s 00 , 0 s 1 and e X^. We also incinde a diagramalic representation of the tkeorems at the end of the paper.
Keywords : Matrix Transformation, Defined, Incomplete Space