%0 Journal Article
%T RELATIONS BETWEEN TWO CLASSES OF FUNCTIONS
%J Journal of Mahani Mathematical Research
%I Shahid Bahonar University of Kerman
%Z 2251-7952
%A Fathi Mourjani, Javad
%D 2021
%\ 05/01/2021
%V 10
%N 1
%P 103-110
%! RELATIONS BETWEEN TWO CLASSES OF FUNCTIONS
%K Banach space
%K Complemented subspace
%K Generalized bounded variation
%R 10.22103/jmmrc.2021.14614.1100
%X Let F denote a specific space of the class of was costructed by H. Khodabakhshian as a classes of separable Banach function spaces analogous to the james function spaces. In this notes we prove that l_p(α) is isomorphic to a complemented subspace of F_{α,p} and for p = 2, F_{α,p} is a closed subspace of the Waterman-Shiba space αBV^ (p) Assume F denotes a specific space of the class of F_{α,p} that was costructed by H. Khodabakhshian[2] as a classes of separable Banach function spaces analogous to the James function spaces. In this notes we prove that l_p(α) is isomorphic to a complemented subspace of F_{α,p} and for p = 2, F_{α,p} is a closed subspace of Waterman-Shiba space αBV^(p).
%U https://jmmrc.uk.ac.ir/article_2898_15b1dc06ab3b9894b5907d89048d7188.pdf