TY - JOUR ID - 2898 TI - RELATIONS BETWEEN TWO CLASSES OF FUNCTIONS JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Fathi Mourjani, Javad AD - Department of Mathematics, University of hormozgan, Bandarabbas, Iran Y1 - 2021 PY - 2021 VL - 10 IS - 1 SP - 103 EP - 110 KW - Banach space KW - Complemented subspace KW - Generalized bounded variation DO - 10.22103/jmmrc.2021.14614.1100 N2 - 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). UR - https://jmmrc.uk.ac.ir/article_2898.html L1 - https://jmmrc.uk.ac.ir/article_2898_15b1dc06ab3b9894b5907d89048d7188.pdf ER -